Maths-
General
Easy
Question
A random variable X has the following distribution
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1714932/1/910911/Picture3.png)
The value of
and P(X<3) are equal to
Hint:
Sum of all probabilities is 1
The correct answer is: ![k equals fraction numerator 1 over denominator 10 end fraction comma P left parenthesis X less than 3 right parenthesis equals fraction numerator 3 over denominator 10 end fraction](data:image/png;base64,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)
Given :
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/1714932/1/910911/Picture3.png)
Sum of all probabilities is 1
P(x=1) + P(x = 2) + P(x = 3) + P(x =4) = 1
k + 2k + 3k + 4k = 1
k = ![1 over 10](data:image/png;base64,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)
Now, P(x < 3) = P(x=1) + P(x =3)
P(x < 3) = k + 2k = 3k = ![3 over 10](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAjCAYAAACHIWrsAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAARtJREFUeNpjYCAeOALxNiD+BsQ/gPgWEE8AYmEGGoH9QBwExGxIYgZAvIOBzuATPS1TAuIb9LBIHIgTofHoRUuL/qPhAnoFpSAQBwDxSSC2p2cc8kAtpSv4QU/L9KAJhybgIBCHAjELEDNBS577QBxPKwttgXgLNAh/QEseH4ZRMAroCf7TGI+CUUAboAbEtUB8AY8aPiCeBq0XQXgmVIwssBiI0wgk671A7IfE94GKUZxHsQFQdTUJiziogRxJCwvXALEbjlb6GlpY+A6tJQ4DILGXtLDwDx49v+ht4Q9aWPgSR5By0CpIQQnDA4u4G60SDaj7NhuL+HxaZQtYv7EA2nwEBW81tElJtUoZWz9jLjSRfIMWbTy4DAQA8KpcPj1YshQAAABjdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4zPC9tbj48bW4+MTA8L21uPjwvbWZyYWM+PC9tYXRoPnzuDUkAAAAASUVORK5CYII=)
Thus, the value of
is
and P(X<3) is ![3 over 10](data:image/png;base64,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)
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The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjcAAAFyCAYAAAAJVfvsAAAgAElEQVR4nO3d2XMb2Xk28Kf3DftGgKuoZSSPHI/tKqdylVQuUrnMf5wbXySpmriU8XhmtFEUSREEAQLE3uj1u5jvtEFxE2e4ofn8qliyhhDZNBvdT5/znvdIcRzHICIiIkoJ+a4PgIiIiOg6MdwQERFRqjDcEBERUaow3BAREVGqMNwQERFRqjDcEBERUaow3BAREVGqMNwQERFRqjDcEBERUaow3BAREVGqMNwQERFRqqiXvSCOY4jtpyRJgiRJN35QREREdP+JjPBLt6mUJAmyfP3jLBeGmyAIcHh4iP39fYxGIxQKBayvr6NUKl37gRAREdHiOD4+xs7ODprNJvr9PjzPS4LOZQMhnudBVVW8ePECv//972EYxrUe24XhxnVd7O3t4dtvv8Xh4SE2NjZg2zbDzQMi0viXnKyfv4ajfERE6dXr9fDq1Sv85S9/we7uLsbjcfK5y67/4/EYhmHgP/7jP/D111/fTriJ4xhBEMB1XYxGIxwfH6Pb7SKfz2M4HMLzPGia9kU/AC2uOI4xm83geR6iKPqi37Usy5BlGZqmQVXVGxluJCKiu+d5HgaDAVqtFprNJlzXhaIokGX50vvFaDSCYRiYTCa/eErrImeGmzAMMZ1OMRqNMJ1OEccxZFlGFEUYjUYYDAbIZrNQVRWKolz7QdH9EEUR+v0++v0+wjC88GQVozaqqsI0TTiOA8dxoOv6LR4xERHdliiKEIYhoiiCoiiwbRumaULTtEvDjWEYMAwDjuPcyCDJmeHG930Mh0N0Op3kxibLMmazGTqdDlqtFmRZRjabZbhJsTAM0el0sLOzgyAILhyFEQHYMAzk83lUq1Xous5wQ0SUUmEYwnVduK4LADBNE4VCAZZlQZblC0dkbNtOws2tFRQHQYDj42Ps7u6i3W5DkiRkMhlEUYRmswnLsmDbNjKZzLUfEN0fQRBgb28P3333HXzfvzCNi+RuWRaWl5ehaRpyuVxykhNROs2vlvmS6QWxOoYlDYsvCALMZjP4vg9VVVGtVrGyspIMfFw04u+6LjRNQ7VavZtw0+l0kMlkkMlkMJlMsL+/D0mS0Gg0sLy8fO0HRPdHEATY2dnBq1evEAQBLMuCoihnnqxRFEGWZTiOgyAIUCqVUKvVknROROkUxzF834fv+xfezMTorqqq0DTt3GsJLQ4xLQUAmUwGq6urePHiBQqFAlRVRRiG5wbeIAigKAqWl5dvZAbo3GmpwWCAdruN0WiEYrGIbDaL6XSKbrcLRVEwHA4RRdG1HxDdH0EQoNVq4d27d4jjGPl8/twi4flwk81mcXx8jNFoBMdxoGkaR2+IUiqKIsxmM0wmE/i+f+7r4jhORnfFwgOGm8UmRusURUEul0Oj0cDm5ibK5TI0Tbsw3Ihyl3K5fHvhJggCTCaTZGWUoigwTROSJGE0GkFVVUyn0ySxUTqFYYh+v4/Dw0MYhgHbts992hINHuM4huu6OD4+xtHRESzLSgrHiCh9wjDEaDRCp9PBZDI5N7REUQRd15HP55PXfEnhKd1v4vfoOA5KpRLq9Tqq1WoSbs4jVuCapnl701JhGMLzPLium9RS6LoOSZLgui4mk0nSrIfSS6yOm0wmsG0bxWIR+Xz+zCJhsVpK0zRomoZut4u9vT3ouo5MJsNwQ5RSvu/j6OgI7969w/HxMXRdh6qqJ0JLHMcIwxCWZaFeryfLhWVZ5vTUAhPXfUVRkuLgXC6HQqEARVG+uAbr1lZLAX+fSxMHL5LV/NIvSjcxly7LMpaWlvCb3/wGS0tLsG37xGsAJKM2YRhiOByi3+/j/fv3UFUVtVoNhULhrn4MIrpBnueh2Wzi1atXODg4gOM4yUi/IHqnidpNsZJSjNxw1e3iE0FVPODetXPDzedpav4mNv8npVccx4iiCKZpYnV1Fb/73e+wvr6ObDZ74jXAzye2GJ5+8+YNfvrpJ7TbbTiOgxcvXtzVj0BEN0g0+jw4OMBf//pX7O7uolarIZvNnphqEA9K2WwWuq6jUCjAcRwYhsH6m5SY72b/JR3tb9qlG2ee5a4Pmm6HCDeapqFcLmN9fR1PnjxBPp8/8Rrg53MiDEMcHR3h4OAAnueh2+2i2+0mPRCIKH1830ev18Pu7i4ODg6QyWRg23Zyn5ifmgiCAP1+H61WKxnhYT+s9JhvCXDXOeHMcDN/Up73wR3CHw5ZlqHrOmzbhuM4J6alPjeZTKBpWvKkJrZuIKJ0EqulPM+DZVlYW1vDo0ePkimn+a1bwjBEGIZoNpuQZRmWZSGXy8FxnDv+KejXEuUr4uOunRtuzkrdnzdpYrh5WL5ka/qzzgkWnhOl0/w9QTTu/O1vf4uXL18mdTdiya+qquj1evjpp5/QbDbheR4KhQJWV1fvxZM+XY/78ns8FW6CIIDv+8nadUVRoKoqVFVNhg/FPlOe58EwDFa7PwBiiuqypX1RFJ2YquII38MhbnRiwcHnw9OirkKslKH0kCQJhmGgWq3iq6++wjfffJOEGzFyo2kaWq0WWq0Wtra24Hke2u120nJE3Fto8URRBN/3k9XUk8kkWS112cOtyBfXfZ84EW48z0tqJqbTKRzHgWVZKBaLKBQKqFarqNfrCIIAg8EABwcHCMMQ+Xz+XlRH0826LKgwyDxscRxjMpmg2+3i+PgYnuclT+2iV5ZYJnpTm+XR7RM3L/E7LhQKqFQqME0z+by4NkRRhHq9jmKxiOl0isFggGazCcdxUC6XT9Tq0P0n9o/yfT/Z1aBYLOLw8BCqqp542P2cuDbUajWsrq5CVX9RCfC5Tny14XCIt2/f4vXr1zg6OkK1Wk3mT4vFInRdx2w2w97eXtLD5Pnz58mSPkonMR0lRvIuep14KhcjPRed3JQ+x8fH+L//+z/8+OOPGAwGyYarmqahVqvh2bNn+Prrr1ljkVJi+mn+SXw+rGQyGWxubmI4HKLZbGIymeCnn35CFEV48eIFDMO49psc3Rwx0iZ2L5jNZvj06RMcx7l05MZ1Xei6jn/6p3/C0tLSzYabfr+PN2/e4K9//Ss0TcNvfvMbvHjxAqurq0lbfUmSMJlM8PbtW4xGI2QyGdTrdeRyuWs9MLo/xFSD53lJ0eBZxNCk2F9GBCIONaefeHrrdDr4/vvv8ec//xmdTicJN7qu49GjRwjDEEtLS6hWq2zsmELzDzVn0TQN6+vrkGUZpmni1atX+OmnnwAAtVoNlUqF4WaBiOAq2gE0m028ffs2WeJ/0YPtaDRKRvr+9V//9dz7yi914ixyXRftdhutVgvlchmO46BaraJUKkFVVRiGgdFoBNu2MRwOMZ1O0ev14HnetR4U3R+yLCfTkIeHh3AcB6PRKPn8fJ+bKIpwfHyczLfmcjnkcjku80y5KIrgui76/T7a7Tba7TZ6vR6Oj4+ToKvrOrrdLtrtNg4PD7G0tMQbWUpd9LQuSRLy+TzCMMTBwUESiMXWDdzSZzGJGlzxcCvqpy4KN8PhEKZpYjqd3sjo/okri+giGQQBgJ9TtmEYyZSTpmkwTTOZS/N9H0EQcNohpcTIy3Q6xYcPH/A///M/2N7evrBDsdh0NZ/Po16vn+qLQ+kjNljd2tpKulJ//fXXmM1myWvEst8gCPDu3TsoioKXL19iaWnpDo+c7oIYyZuv1/A8L7nv0OIQ139d11GpVJDJZFCtVmFZFhRFubANyGQygWEYePTo0e1snHnR0u/PP0/pJsLNZDLB69ev4XkeHMc5MRIz35VSlmUYhoF6vY6vvvoKT58+Teq1KL0mkwl2dnbwv//7v2i1WqhUKvjmm2+S3Z+Bn4sHxX5jb968wXg8Ri6XY7h5oD5vKcIi4sUkfo+maWJtbQ3Pnz/HixcvkM/nLy0oDoIAiqLgyZMnNzK6n4SbMAyTLevDMITv+5hOpxgOh3AcB5qmIQiCZDrK930oipJssOn7PouKU0iWZfi+j8PDQ/i+D1VVT6RsMWIjNljN5XLJBmqrq6uo1+sXNv2jxRaGYbJycnt7G5PJBE+fPsUf/vAH1Gq1JNx4noe3b9+i1+sly4CfP38O13Vhmib7nDww8w/ObBmxuMTIjGmaqFQq+Prrr/GP//iPqFarlxYUi/e8aZo3kh1U8U2Ojo6wt7eHo6MjDIdDaJqGZrOJDx8+JHNjruui2Wyi1WphMBhAURR0Oh00m81k+R83QEsfsdolm80mfY0+F0URZFlO9o7xfR+TyQSu6ybhmNIlDEMcHx+j2Wzi+PgYAJDNZlEqlVAul1GpVJLXBkGAXq+HcrmMbDaLKIrQbrfx6dMn1Ot1rrgkWkDzu4Kbpnni/X/XC0lU4OdC4q2tLfzwww/Y3d1Fp9OB53l48+YN4jhGPp9PloF3u128f/8enU4Hsixje3s7mWtzHAeZTOZOfyC6PmKVlK7rqNVq+Oqrr84sEJ5P5pqmIZ/PYzweY2dnB6qqJhXxlC6u62J3dxfv3r1Dv99HPp9HuVxGvV4/tfJBVVXkcjmsrq6i0+mg2+3i8PAQP/74IwCg0Wgw3BAtqM/bhdx1sAH+f7iZTCZ48+YNvv/+e+zt7aHf7yMIAnz48AHj8Ri2bUNVVQRBgPF4jP39ffT7fcRxjA8fPiQNmNbX1xluUkSEG8MwsL6+jj/+8Y9YWlpKppk+nzcXReaDwQCDwQDv3r2DJEmoVCoMNyk0nU6xvb2Nt2/fIggCVKtVPHnyBI1G49QqqCiKYNs2VldXMZ1OsbW1hXa7jTdv3iQNQoloMc13sA+CIBnJv0vJyM3e3h4+fvyIwWCQHOxkMkG73Yau61AUJel1Mp1OAfw81Cyms9rt9onVEbT4xAkrKuE3NzdPBdj5peBhGGI8HuP9+/dot9vodrsoFArJ+ULp4nkeWq0W9vb2kMlksLGxgUajgWKxeGoURpIkWJaFarWKyWSCfr+Pg4MDdLtdjEYjLlQgomulAn+fD+/1eoiiKJleMk0zqa+Yb7Ft2zbiOMZ4PE7aLotupJQuYo+xbDaLarWKRqNxomHj5+Gm1+thf38fnueh3+9jOBzC9/27Ony6QaKYuNfrQdf1ZPpRdCf9nKZpyGQyKJfLKJVKME0TYRgy2BDRtUvCjeu6iKIIuVwOtVoNxWIx6WkjKtlF5bPv+xiPxzg6OkoaL81mM97EUmY+uOi6noTebDZ74jVivjUIAnieB03TEMdx0tGYjbnSKYoizGaz5NohGn1qmnbmyhdFUZLzqFgsolqtwvd92LZ950PYRJQuKgCMx2N4ngfTNJPGa7Va7dxNzMT0w+7uLvb395Mb2WQyuRdzbXR9RHjRNA2WZcG27VNN/ET4DcMQo9EIqqomDSE9z7uwkRMtLtGVVPyOVVWFrutn7vAr/i5GfkulEtbW1uD7PvL5PK8ZRHSt1CAIkmWc5XIZjx49wosXL7CysnKqcFRcoMSUlGVZiKIIo9EIURSh1+thPB4jk8mwZ0GKfF4Jf9Fyf26c+XB8/jsW58llO8fruo5isYiNjQ0EQYBiscgWEkQpcV96FqmtVgvtdhuapmF1dRWbm5t48uQJlpeXLw03YvVUu90GABweHuLw8PDGmvLQ3brspD3r8ww26fZ5k64vuagpigLHcbC0tJTU+DHcEC2++xBqBPXNmzf4+PEjHMfB8vIynj9/jo2NjWR/CODscCO6GYtdosXyzmKxiKWlJYabFLqo2+R5n79PJztdv88D7ZeEWbHPlKZpiKIImqYx3BAtONE6RCwHF+UJl10TLhvt/aXU169fY3t7G7VaDS9evMDjx4+xtLSUdKM9j6ZpWFlZSVZIvX79Gu/fv0ehUMAf//hH9rshojOJi9l8LxyGYKLFM7/QSLSKcV0X0+kUuq5fuBpyvp5T1/Vrvwao29vb2Nvbw9raGjY2NlCv15Ngc9E3MwwDhUIBs9kMw+EQr1+/xt7eHqrVKvvdpNCX7P9y1lM8p6XoLAwzDxuvE+kxH2ym0ynG4zFM07w03IjFR2J7nmsPN51OB8fHx9A0DaVSCZlM5ou+kdgBWiwNliQJx8fH6Ha77HeTQpcVCIsOxfMro0SBKRHRPO4Knh6yLCOKIriui36/j06ngzAML90VPAxDyLKMarUKx3Gu/bjUyWSC2WwGXdeRy+VgWdYX3ZDmlwc7jgNVVeG6btLzgtJBDDuKZd3iQ/i8z43YVV5MO6iqyoBDRCeIFv2fXycYchbL/F5Ss9kMnU4Hu7u7ycbaF2UB3/eTf1ur1a697k5VFCXpT6Hr+pVuROLEFDv6ntXfghaf2DPKdV1MJpMTxeKfhxvXdREEQXJuaJrGcENECdEfaf4hiEXli0k05pRlGePxGHt7e4jjGLZtXxpuZrMZNE2DYRj46quvrv3Y1Gw2i0KhANM0f1EwEdud27aNQqGATCbDkzQlxHBxFEWYTqdnTjt+vv1Cv9/HbDaDoiiwLCvpck1EFMcxXNfFeDzGbDZLVs6JGg0+CC0WMXtjmiZGoxE6nU4yEyT6nZ1nMplA13VsbGzcyGyPurS0hDiOT7TUv4r5plyrq6tYWlrizSxFJElCEATo9/toNpuQZTlZCXfWruDT6RSj0QiGYaBcLqNYLELX9bs6fCK6R6IowmAwwNHREYbDIVRVRaFQQKFQuJEVM3SzdF1HoVBApVKB53nJNkxiyvGicDOdTpNC5JsoKFefPn2a7PPyS0ZcRPJeXl7Gy5cv0Wg0LlxCTotDjNy4rov9/X388MMPODw8PNX/SJhfEij2D1peXr6RYjEiun/ENeO8EZggCNBut7G9vY3Dw0NomoZqtYp6vQ7HcThys2Bs20aj0cCzZ89QKBTgum5SqnAZ13WT3/9N/N7Vr7/+GsPhEI1G4xeNuIhuoxsbG9A0Dfl8HqZpXvuB0u0TF6nJZILt7W0AgOM4yUjMfLgRJ7RlWWg0Gnj+/DkeP36M9fX1E7uIE1E6zQeb825WYRji4OAA7969w/HxMcrlMjY2NrC+vo58Ps+ShgVj2zbW1tZgGAZGo9GVRmFEQfHm5uaNzPaom5ubmM1mSQHQVYnaikajgUKhkBQI0eITy/0VRcFgMMDu7u6Zq5/EiI0syygUCsjlcshms1hdXUWj0UhGeoiAv58v853PuRx48UVRhCAIMJvNMJ1OTz3kyrKM0WiEw8NDNJtN+L6PtbU1LC8vc+RmQYl7f7FYTFbAfSkxdZXNZm8m3ORyuRMrXq5KVLtns9lkw0xepNJBURRUq1Wsr68nF6vz9o+KogiKoiCTySCfz6NYLKJUKiGbzfKCRSeEYYjJZJJsuJvJZJDJZFirt6DE9UDU5n369AlbW1tJuJnvRNtut9HtdpM9xeavE9yyZ/HM3/t/ad3MRSN9v4Z6HV+UgSaddF3Hy5cv8e///u9wXReKopxbJCbCTTabxePHj7GyssInsZQToVZ0IRUrJy8TBAFarRZev34N13Xx9OlTPHv2jOFmgUVRhPF4jF6vhz//+c/49OlTMoIvnuZlWYbneZhMJqjVamg0Gtjc3EQul2OwWVD3+d7PqwmdyzAMfPPNN6hWq0nvmvOIaSnDMJDL5VAqlTg9mXJitHc+9IZheOm/c10Xnz59wrfffntiOSgLzxePuLkpioIwDLG3t4f/+q//wuvXr5OwKqYgfd9HLpfDV199hT/84Q/JJs3ch5BuAsMNnUtVVaytraFeryfzo+eZn9oUNzw+iaebWEwgppRmsxnG4zFc1z3Vs2T+Btfr9XB4eIj9/X14nofxeMyu5gtKlCXYto1cLgdFUdDr9TCdTk9cL0R7/nq9jhcvXqBer2N9fR3VapXNX+lG8O5D55IkCYZhcASGzmTbNjY3N9Hr9SBJEjqdDt6+fQtZls9sCTGZTNBqtfD27Vvs7+/Dtm0sLy8nNzhaTKZpYmVlBX/4wx+Qz+eh6/qp6ckoijCbzVCtVvHkyRMsLS0hk8mwBxbdGF5RiOgXcRwH//AP/wBFUfDx40c0m81ke45CoXAi3MRxjF6vhx9//BGvXr3CYDDA6uoqfve73+Hp06e8yS0w0zTx9OlT/Nu//Ru63e6Ze0SJ/ekymQw2NjZQr9fZMoRuFMMNEf0ipmni0aNHkCQJk8kE79+/R6fTwfLyMp4+fQrTNJOpKc/z0G63sbW1hffv38M0Tfzxj39MnvbZ32RxmaaJtbU1lEol+L5/7orKOI6hqiosy4JlWSwiphvFcENEv4gsy3AcB9VqFcViEbZt4/j4GL1eD3t7exiPx9A0LdkocX9/H/1+H3Ecw3EcVCoVlMtlrqhbcPPLgb+ECD6ss6GbxHBDRL+KZVlJPyRVVTEcDvH999+fGLkJwxDHx8dwXReVSiUpJmWwSYf7vCSYHiaGGyL6VRRFQaVSwVdffQVVVdFsNvG3v/3tRP8bsarGcRw8evQIT58+RblcvutDJ6KUYrghol9FFBCvra1hOp2i2Wzi4OAg6UAsyzJUVUWxWESxWESj0cDa2hry+fxdHzoRpRTDDRH9KoqiwLZtlMtllMtlWJaVrI6Z748ktueoVCoolUrcc4yIbgzDDRH9KpIkQdd1OI6DfD6PcrmMarUKXdcRhmGyr1C5XEapVEI+n4fjOOxtQ0Q35sKri1i+J+bORfdZFgES0TxVVaHrOvL5PFZWVjCdTjEajZJtO0S4aTQayOfzbAyZcmEYIoqi5L4htuigh0NkBzF6qyjKrWaHS8PNbDaD67oIggCapsG2bTbcIqITRMFwNpvF6uoqNE3DdDpNRm7E5yqVCrLZLEdtUkws/Z9OpwiCALquc9f3BygIAkwmE3ieB0VRYFkWTNO8tZB74dkWhiGm0yn6/T5c14Vt28kTGhHRPFmWYVkWarUaLMuC7/vJU5vYVDWTycCyLI7+plgYhphMJskeU9lsFoZhMNw8IHEcw/M8DAYDDIdD6LqOcrkMTdNu7Ty4dORmNBphf38fw+EQpVIJtm1zF1ciOkXU3uTzedi2nUxLiKXgsixD0zQ+HKVcGIYYDAb49OkT+v0+lpaWWED+ALmui3a7jYODA9i2nTzc3JYLw00URRgMBtjZ2UGn08HKygqWlpZu69iIaIGI6SdFURDH8ZmfF3+y/iK9giBAr9fD9vY22u02oijCkydP7vqw6Ja5rptslJvP5289O1wabkajEZrNJprNJlRVxXQ6va1jI6IFw+BCQRCg3+9jb28P+/v7yGaz8Dzvrg+LbtlsNkO73cbHjx9RKpXw29/+9syHnptyabiZTqfo9XrodDool8s8SYmI6FyiVrPb7aLVauH4+BhBENz1YdEtEzU37XYbADCdThFF0a19/0trbjzPw2g0Qr/fx3g85klKAJDUU4iaClmW+cRORIiiCLPZDMPhEMfHx7xvPFBitVS/34dpmvA87/6M3MRxjCiK4Ps+PM9LVj8QhWGYdKBVFAWapkFRlLs+LCK6Y2fdN27zpkb3g+hSPpvN4Hle8kB8W7g2j65MnLSTyQRBEMAwjKRRFxERwwwBd3sefFG4EUWCnHYg4OdhZ9d1cXR0BM/zkMvl2P+IiBLz9wzeNx6uuzwHOHJDVxbHMYbDIfb29jAej9FoNGBZFvsfERHRvcBwQ1cWRRGOj4/x7t079Ho9BEGASqWCarV614dGREQE9kCnK4uiCP1+H9vb23j79i2azSb7HxER0b3BcENXJvofHR0dod1uo9/vs/8RERHdGww3dGViK3vP8+B5HoIg4OoIIiK6Nxhu6BfjSggiIrqPGG7oF+FSTyIiuq+uFG54IyPgdO8CnhdEJPD6QPfhwffK4UaWOdjz0M3vIyVOYJ4XRATw+kA/u+v9Br+4z838PhFhGCb/jR6e2WwG3/cRhiGiKErOiyAIIEkSzwuiB+ys64PYW4h7E6afJEnJ5ql3uWHqpeFGJO8wDDEajdBut9FsNqEoCpf/PjCKoiCKIkwmE3S7XUynU7ium2xr/+nTJ2iaBt/37/pQiegWiSd0WZbRbreT64PneRiNRmi1WsjlcskmmnwASi9N0+B5Hg4PDzEcDpOH3tsexfmicAMAruvi4OAAP/zwA+I4hizLDDcPjCzLiOMYruvi7du36HQ6OD4+xv7+Pn744QdMp1OGG0p8fjHjDS295qehjo+PsbW1hU6ng+FwiGazie+//x6DwYDh5gEQ4ebjx4/Y39+H67p3MkV1abgRB+W6Lj59+oRXr16h2+0mozn0cIiT0/M87O3todVqYTweY3d3F6qq4uDgAIqi8LwgeoDE9WEymWBvbw+Hh4cYDAb49OkT/vKXv2BnZwdhGDLYpJyiKAiCAK1WCzs7O5hOp/cz3Mzf0EajEWRZxnQ6TebV6OEQ9TRBEKDb7WIwGGA2m6HT6UBRFPT7fciyzPOCkvNEnAuyLEOWZSiKcsdHRjfN8zwcHR1hMBhgOp2i2+3iw4cP6HQ6HLV5AGRZRhiG6PV6yUDIvZyWEsTFyvM8uK7LcPMAzYcbz/NOFQyK4UeeFw+bJEnwfT+pyZIkCZqmwTRN6LqeTG9SOnmeB9/3EUXRiYUomqYx3DwAItyIwnJN0+5k1dSl4UaciLIswzRNZLNZFAoFTks9QCLc+L4Pz/NgGAbiOIZpmshkMsjn85yWeuDEst/JZHJiBZ1hGDBNE47j8CaXUvP1mb7vYzAYJNeJXC6HXC6XBB5KLzEtFYYhXNe9s9/3F4cbTdNgGAbW1tawsbHBcPMAiXDjeR50XcdwOIQsyyiXy1hbW0O9Xme4eeAkSYKiKOj1egB+vtEBQKFQwOrqKgqFQhKKeZNLFxFuRqMRVFXFaDRCEAQolUrY2NhApVJhuHkARLg5ODhAFEUYDAZ38nv/onATxzF0XUehUMDTp0/x/PnzZOiZHg4xnTCbzSDLMlqtFuI4Rq1Ww9OnT7G+vs7VUg+coihQFAWtVguz2Qy9Xg9RFKFareLZs2eo1WpJuOH0ZXrM11T0+33EcYxOp4PZbDvNfaoAABmfSURBVIZKpYJnz55hdXU12WSXASe9xGqpTCaTjODe23ADALquo1Qq4dGjR3jx4gUURcFsNrvxA6T7Q/S5mU6nGI/H+Omnn+D7PiqVCjY2NvD8+XMYhsHz4gFTVRWqqiKTyeDw8BB7e3uIogi1Wg2bm5tYXV2FaZp8gk+Z+aXgopj4w4cPGA6HKJfLePLkCZ48eQLP8xhuUs4wDLiuC0VR0Gw2cXBwcCe/8y8uKNY0DZlMBktLS1hdXYUkSexz88DMN/Hb3d2F4zgYjUbI5XJYWlrCysoKdF3nefGAqaoKRVHg+z6KxSIymQziOEahUMDS0hKWl5dhWRZHblJmPtzouo5yuQzHcWAYBrLZLOr1OpaXl9nn5gHQdR2z2QzD4RDZbPbOauy+eFpKlmVYloV8Po9CoQAAvDg9MKLmRhSWG4YBXddh2zby+TzK5TJXSz1woqC4WCwmNzcAcBwHuVwOpVIJpmkCYFO/NJIkCUEQJNcHTdOS+0Y+n+eI3QMgVksVCgXYtn1nqyO/eORGkiSoqgpN05JeFexZ8TDpug5VVZPeJbIsQ9M0aJoGgOcF/f0cmb9WiEUJqvrFlx1aQJqmJdcHEXY1TUuuFZR+iqJA13UoinJnm2fyKkNXxicvuow4Rz4/V3juED0Md/1ev1KM5lwpCWLJr3ga43lB8z6/Voi/8zx5GMT1QVwj6GG5D+93nnV0ZeLCpet6Mq/OCxgRASevD6Zp8vpAd4JnHF2ZqL+yLAu2bcMwDNbZEBGAv18fTNNMrg8MN3TbWHNDv4hhGCgUCsnKCFFMTEQPm9iqp1gsYjweI5fLsYicbh3POLoyWZaRyWSwvLwM27ZRqVSS5b1E9LCpqopcLofl5WWoqoparcaHH7p1DDd0ZbIsJ1txTCYT1Go1OI5z14dFRPeAqqqoVCp4+vQparUa6vV60u+I6LYw3NCVybKMfD6Pzc1NBEEA27Zh2/ZdHxYR3QOapqFUKkFVVXieB9u2ObJLt47hhq5MkqSkUFB0r2ZBMREBPzdwcxwHpmny+kB35ou3X7jrNet0f8z3sCAimsfrA90HX7w+77yOo0RERET3yYXhRiRwsSfM/L5SRERERPfRhdNSYifwUqmE6XSKYrEIXddv69iIiIhogd3VbM+F4UZRFOTzeWxsbMC2bayurnLJLxEREV0ojmNEUXTiz9t06chNsVjE48ePUalUUC6XkclkbuvYiIiIaAHNF5bfxQaql4abbDaL5eVllMtl2LYNy7Ju69iIiIhoAamqCtu2kc/nkcvloOv6rQacS8ON2CMkCAJomsY22kRERHQh0zRRq9WwubmZzPrcm3AjSVISZqIogqIo3ACNiIiILiTqdMMwRCaTQaFQuF/hRlEUSJKEOI4hSRK3riciIqIL2baN5eVlGIYB0zSRy+UgSdKtff9Lh2FEwCEiIiK6jJj1KRQK0HUdqqrCsqz7FW6IiIiIrkIEGk3TIMsyNE1juCEiIqLFJQKNKG257RkghhsiIiK6VrIsnxipuc1RG4DhhoiIiG7AbQeaeVz6RERERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpot71ARARfYkgCBAEAcIwRBiGiOMYcRxDkqQzXy8+J8sydF2HruvnvpaI0oXhhojuvTiO4bouOp0Ojo6OMBgM4Pv+F4Ub0zSxtraGtbU1qCoveUQPAd/pRHTvxXGM8XiMra0tfPfdd9je3obruoii6MxwI0Z1AKBUKuFf/uVf0Gg0GG6IHgi+04loIYzHY3z8+BHffvstvv/+e7iuCwBQFOXUa0W4ieMY9Xodjx8/RhiGt33IRHRHGG6I6N6L4xiz2Qz9fh+dTge9Xg+SJMGyLKiqCkmSkpEa8XrxoaoqZJlrJ4geEoYbIloIYRgiCAIAQLlcRqPRQKPRQDabhSzLp0ZmRNgpFot49OgRp6SIHhC+24loYYjRmvX1dfzpT3/Cy5cvUS6Xzw03kiTBMAzW2xA9MHy3E9HCkCQJmqYhm83i8ePH+N3vfodarQZZlhFF0Zn/RpZlTk0RPTAMN0S0UETAsW0b2WwWmUzmrg+JiO4ZPsoQ0cJiUz4iOgvDDREtnDiOEUURl3cT0ZkYbojo2p03onLdIy0cuSGis7DmhoiunSRJyYf4uyzL1xZGrvvrEVG6MNwQ0ZXNb28wT4SNIAgQRVGygklMIQVBAFVVz/y381/jstAy//XEFgyff835YEVEDwvDDRFdSRRFmM1mmM1mpzauVBQFiqJgNBphOp3C930AwGw2w2g0OrHh5VlhRJIkqKoKXdfP7UsTxzF838dkMsFoNIJt26f63Iivo6oqNE3jMnCiB4bhhoiuJAxD9Pt9dLtdhGF4Ym8nESharRb6/T7G4zHiOE62TbAsC6ZpJgXB8yRJgqIocBwHhULh3HAThiGm0yl6vR4ODg4QBAEURUm6FwM/hyzLspDJZJDL5RhuiB4YhhsiuhLf99Fut/Hx40d4ngdN05LPKYoCVVWxv7+PdruN4XCIKIrQbrexu7sL3/dhGAaiKDq1F5SiKNA0DZVKBaZpwnGcE993fsprNpvh4OAA29vb6Pf7p0ZudF1HPp9HvV6H4zjsTkz0wPAdT0RXEgQBDg4O8Le//Q3T6RSmaSafk2UZiqKg0+ng06dP6Pf7iOMYBwcHePPmDY6OjqDr+qlpKRFubNuG67qoVqsol8unvrckScnI0cePHxHHcTIyI8KNJEmwbRtLS0swDAPVahWGYdz8/zFEdG8w3BDRlYRhiHa7jZ9++gnj8Ri2bSefk2UZsixjMBig2WxiOBxCkiQcHh4CANrt9rnhRlVV5HI56LqO6XR67veP4xjD4RB7e3uYzWZwHOdUuMnlcvB9H/V6/dxtGYgovRhuiOhKoijCYDBAq9XCcDiE4zinlnyPRiP0+31Mp9Mk7CiKgul0mkxjzYebKIqgaRpmsxmWl5eTQuR5YkVUFEVwXRfHx8eI4xi2bUOSpCTESJKE2WyGXC6H6XTKRn9EDxDDDRFdiVgh9fkH8PcVT/M9aMTrxajOWUuzz/t6531/ACe+3k321CGixcNwQ0RXoigK8vk8VldXz52W6vf7CMMQnuchjuOkuDeXy0HTtHNrbrLZLEqlEnRdP/V950ONZVmoVCqoVqvnTktVKhU4jnNiNRcRPQwMN0R0JbquY319HX/6058wm81OBBGxWqrVakHX9aSnzcbGBn7zm9+gVqslNTef18KI0LK8vIxsNnvu91dVFeVyGc+ePcPjx4+Rz+dPLAWXJAmWZaFcLqNarXKlFNEDxHc9EV2Jrut49OgRstnsqT43sixD0zTs7u5iOp2i2+0ijmM8evQI33zzDdbW1mAYxrlN/FRVheM4yGQyp76veL2maUm4+f3vf49KpXJq5EZVVRiGgXw+f2KpOhE9DAw3RHQlqqqiUqmgUCgAOLm9gah3URQFb9++TUZgKpUK1tbW8Pjx46SJ31nEv79otEVMXzUaDWxubqJWq53afkHU4IiOyUT0sDDcENGVSJIEXdfPrIsRbNuGruvJqImu67AsC47j/OqRlPmRGdu2YVnWr/p6RJQ+7ElORAuJq6GI6DwcuSGiaye2VxBTRaKA+Loa6l331yOidOHIDREREaUKww0RERGlCsMNERERpQrDDREREaUKww0RERGlCsMNERERpQrDDREREaUKww0RLZSz9qUiIprHcENEC2M+1DDgENF5GG6IaCHMb4SpKApkmZcvIjobrw5EtBAURYFpmnAcJ9mYkwGHiM7CvaWIaCFomoZMJoNisYhsNgvLsqAoyl0fFhHdQww3RHTvSZIEwzBQKpWwsrIC27aRyWSgqryEEdFpvDIQ0ULQdR2VSgW+78M0TeTzeY7cENGZGG6IaCGIcGMYBjRNQy6XY7ghojMx3BDRvSdJEkzTRKFQgG3bUBQFlmVxWoqIzsQrAxEtBFFQHIYhJEmCqqocuSGiMzHcENG9N9/jRjTvkyTpjo+KiO4rhhsiWigMNUR0GXbAIiIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUUe/6AIiIfq0oihBFEcIwRBzHAIA4jiFJUvK/ZVmGoihQFAUAks8RUfow3BDRQovjGJ7nYTAYYDQaYTabIYqiU+HGMAzk83kUCgVomnbHR01EN4nhhogW3mQywf7+PnZ2dtDr9RAEwYlwE0URcrkcnj59CtM0GW6IUo7hhogWmu/7GAwG2NnZwffff49mswnf90+8JgxDlMtlaJqGWq2WBBxOTRGlE8MNES2sMAwxHA7R6XRweHiIg4MDtFotBEFw4nVBECAIArRaLbTbbViWhWw2C03TIMtcV0GUNgw3RLSwRqMRPn36hJ2dHRwfH0PTNBSLRURRdOJ1URTBsiwMBgNsb28DAFZXV1EsFhluiFKI4YaIFlIcx+h2u9ja2sLHjx/hui7q9Tp0XT/1WkmSEAQBJpMJ3r9/jyAIYBgGbNtm/Q1RCjHcENFCEYXCs9kMnU4He3t7ODg4QDabxfLyMqrV6qnRGEVR0O/38cMPP6DZbEKSJNRqNVSrVViWlSwPJ6J0YLghooUi+tn0+310u130+334vg/LslCr1bCysnIqrKiqik6ng48fP2J/fx/9fh+dTge9Xg+2bTPgEKUMww0RLYw4jhEEAcbjMdrtNrrdLjzPS3rYlEollMtlqOrJS5uiKIiiCIVCAaZpIggC9Ho9tNvtpLCY4YYoPRhuiGihhGGIo6Mj7Ozs4PDwEKqqolgsYnl5GcViEZlM5lRQkWUZ+Xwe9XodnU4H4/EYw+EQzWYT+Xwe+XwehmHc0U9ERNeN4YaIFoYkSQjDEO12G1tbW2i328jlclhZWcHKykoSUj4PN5IkwXEcLC8vYzgc4uDgAMPhEO12G41GA2EY3tFPREQ3geGGiBZKEATodrvY29vDYDBArVZDvV5Ho9GA4zhQFOXM5ny6rqNWq2EymSAMQ0wmE0ynU7ium+xHRUTpwHBDRAslCAIMh0McHR3B8zzouo5isYhcLnfmMnBBURRks1ksLS1hMplgOBwiDEN2KiZKIYYbIlooURTBdV0Mh0MAP6+EchwHhmFcGFJkWYZpmigWixiPx5hOp/A8D9lsFpIkndiLiogWG8MNES2cIAjg+34yBfWloy+yLMOyLJRKJYRhiCAIUCqVTq2uIqLFxnc0ES2sX1Iro6oqMpkMJElKtmVQVZWjNkQpwnBDRAtHkqTkA7hayJEkKdkVPI5jqKrKkRuilOE7mogeFDGNxT2liNKL2+ESERFRqnDkhohSKY7j5OM8n09vEVE6MNwQUarEcYwwDOH7PsbjMcbjMXzfP7VTuCzL0HUdmUwGtm2z7oYoRfhuJqJrp6oqZFlOAoUsy1AU5dYChOd56HQ62NrawocPHzAYDKAoCmRZTvrZ6LqOcrmMZ8+e4fHjxww3RCnCdzMRXbswDBHHMaIoAoDkf4dheOO7b0uShNlshsPDQ7x69Qr//d//jWazCV3Xk93BAcAwDGxubkKWZTQaDdi2faPHRUS3h+GGiK5EdAiezWaI4zgZDQGQjNYcHx9jPB5jNpsBQLLdQa/Xg2maSS2MqHeRZRmapl3bsuwwDDEej3F4eIitrS3s7OzANE0oigLf9xEEARRFwXQ6xcuXL+F53q/+nkR0fzDcENGVzGYzbG9vY2dnB77vnwgjYuppf38fW1tbODw8BAB8+PABxWIRh4eHMAwDURQhiiJIkgRVVZHNZlGtVlGr1ZDNZn/1MSqKAsdxUKvVsLm5CcuyoOs6VFXFeDzG0dERhsMhptMpptMpdwUnShmGGyK6Etd18d133+E///M/MR6PYVlWstpIjNz0+33s7u7i4OAAADAej9HpdJDL5aBpGqIoSkZ7dF3H+vo6vvnmG1iWlXQP/qXiOIZhGKjVavj973+PXC6H4XAIVVWhaRo6nQ5ev36NH3/8EZqmJVNoRJQeDDdEdCWe52Frawt//vOfMRgMToQR8WcQBMm0lCRJGI1GaLVa0HU9mcYSH5ZlodvtJsW910HXdVQqFdi2jc3NTQRBkIwSHRwcwHEc9Pv95PiIKF0YbojoSuaLg8XHWQHBsixYlpX8XezlJAp6xbSU+G/zn/s1RIhRFCXZBfzzz1UqFTiOA9/3f/X3I6L7h+GGiK5E0zTU63W8fPkSo9EItm2fGW5kWYYkScmUz+cN9US4MQwDjx8/RrVahWmaX3QMImDNFyR/7rzmfKL+RhzbdQQqIrpfGG6I6EoMw8CTJ0/wz//8z3BdF4ZhnPvaiza2FP9N0zTUajWsra3BcZwvOgYRaH5JQPF9PxltEr1viChdGG6I6Eo0TcPq6iqAn2trfu3SbUVRkMlkUC6XYZrmpTUwsizDNE1kMplkWmwymcDzPGiadu6/j+MYQRBgOBzC931omgbbtmGaJgMOUcow3BDRlSiKgmKxCEVRrqUpn5iasizri4KSqqoolUpYXV1Fv9/HZDLB/v4+MpkMSqXSiTqfeWEYotPpYHd3NymELhQKqFQq3CGcKGUYbojoSmRZhm3bUBQlacT3a4nmfV8SlDRNQ6PRwLNnz7Czs4PRaIStrS0YhgFN02AYxpkjMbPZDDs7O3j79i16vR6KxSKq1SpWVlYunFojosXDcENEVyL2ZVJV9VrCjehyPL8X1UVEQfN0Ok0Cy+7uLhzHQblcRiaTOTUCJEkShsMhdnd3sb29jTAMsby8jCdPnqDRaDDcEKUMww0RXYlYTn1XFEVBPp/H8vIyWq0W9vf3MRwO0el00Ol0zpzeUhQF7XYbnU4nmZIql8toNBooFovcNJMoZfiOJqKFIgqK8/k8SqUSHMfBcDjEcDjE4eFhsgO5WI0lVlb1ej0Mh0NIkgTHcVAoFFAsFmHbNguKiVKG4YaIForoX2NZForFIpaWljCdTuH7Pvb399Hv908sQRevF5t9lkolLC0toVwuw3EcqKrKLsVEKcNwQ0QLRQQRXddRLpexurqK2WyGg4MD7O3tIQiC5HXzDQQVRYFt22g0GlhfX0+2Z/i1q72I6P5huCGihSTLMvL5PBqNRrLTd6fTQbfbTboXA3/vZpzNZvH8+XMsLy9jZWUFxWIRuq7f8U9BRDeB4YaIFpZpmiiVSiiVSrBtG1EUYTqdJqM3QhAEMAwDtm2jUqmgXC6z1oYoxRhuiGhhqaqKbDaLYrGIYrGIXC6XdCAG/l5zEwRB8rpyuYxcLgfDMFhrQ5RSDDdEtNAMw0iWhg+HQ+Tz+VO7fYdhmHQ1zufz5zb6I6J0YLghooUmyzKy2SzW19dhmiaGw+Gpaak4juE4DlZWVpDJZFhETJRyUnzWdr1ERAtCbIjpui5c10UQBIjj+ET35DiOoWkaLMuCZVlQFIVTUkQpxnBDRAtvfsn3eZc00e+GoYYo/RhuiIiIKFVYUUdERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqfL/AMQz3ogZKZPPAAAAAElFTkSuQmCC)
The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is
![](data:image/png;base64,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)
maths-General
maths-
The number of ways that the letters of the word ”PERSON” can be placed in the squares of the adjoining figure so that no row remains empty
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/481558/1/910723/Picture125.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/481558/1/910723/Picture126.png)
![](data:image/png;base64,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)
The number of ways that the letters of the word ”PERSON” can be placed in the squares of the adjoining figure so that no row remains empty
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/481558/1/910723/Picture125.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/481558/1/910723/Picture126.png)
![](data:image/png;base64,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)
maths-General
maths-
The value of
is
The value of
is
maths-General
maths-
The determinant
is equal to zero if
are in
The determinant
is equal to zero if
are in
maths-General
Maths-
If
satisfy
then ![a b c equals](data:image/png;base64,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)
If
satisfy
then ![a b c equals](data:image/png;base64,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)
Maths-General
chemistry-
End product of the following sequence of reaction is :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdQAAADjCAYAAAA8L+XNAAAgAElEQVR4nOzdZ3dUV77v++9KFVVKpZwFSCCEkEABTAaDjWOHvfv03vvc+xruW+hXcN/AfXLuGOc+OKe77bYxxolgY4IACSShBCjnnEoVVrwPloTBJBmECZqfMWiP4VatWquE16/mXP/5n5LjOA6CIAiCILwQ+VWfgCAIgiC8DUSgCoIgCMI6EIEqCIIgCOtABKogCIIgrAMRqIIgCIKwDkSgCoIgCMI6EIEqCIIgCOtABKogCIIgrAMRqIIgCIKwDkSgCoIgCMI6EIEqCIIgCOtABKogCIIgrAMRqIIgCIKwDkSgCoIgCMI6EIEqCIIgCOtABKogCIIgrAMRqIIgCIKwDkSgCoIgCMI6EIEqCIIgCOtABKogCIIgrAMRqIIgCIKwDtRXfQLC68W2bWzbxnEc91+s/lOSkCQJWZaRZfE9TBAE4ddEoAoAzM/P09vbw2B/PxPj4ywvRzBME1byVFFVkpKSyMjIoKS0lLKyMlJS017tSQuCILxGRKBucLquMzo8TEtrC41Xr9DW2srI0BC6rqMoMpqmAW6uer1e0tLS2bGjigOHDlLXsIecnFwkSXq1FyEIgvAaEIG6wXW2t/PtN2e4fq2Ru3e7mZ2ZRVYUMjMzycrKIjklFUmCxYVFJqcmuHOnm+GhQfr6+1hYWOT9kx+QmZX1qi9DEAThlROBukHFolH6ens5/dWXnPryC4aHhkhLS6O2vp7Nm8soKCwkNzeX5JQUJAnmZucZGuynra2V221tXG9sxLFtgoEgh48dIz09/VVfkiAIwislAnWD6uvr48sv/sU335xhcmKCnJxcDh87yvET77NtWwU+nw+v14uqqiCBYZjEolG6u7r49tuv+f7MN9y62UxycjIpqakcffddMfUrCMKGJgJ1g3Ech6WlRdrbWvnpx/Pcu3OHktJS3nv/JB9+/Ak1u3bj8Xge/+L0dDKzsnAkh8H+Ac5+/x3Xr11j67YKtlVUkJ2TjaKIv1KCIGxMYv3DBmMYBoODg7S1tTIyPEwwGKSuvoGPPvmU2rr6J4fpCo/HQ3n5VioqK8nIzGRpaZGuzg66ujqJRqO/01UIgiC8fkSgbjCJeJz+vj7udHezHI2SX1DAzuoaNm3ejKIoazpGSkoqm7dsobikBFmWGRoaoq+nh8XFxZd89oIgCK8vEagbzPLyMvfu3qWvrxdZktm6rYIdO3bg9/vXfAxN09i8eTPlW7cRCASYnppkeHiIJRGogiBsYCJQN5hodJn+/j6Gh4ZRNZXNmzezpXwrPt/aA9Xr9VJSUkpJaSmax8Ps7CyTk5NiylcQhA1NBOoGE4/HmZmeZnk5QlIwRHZOLunp6b+pnaAsy4TDmWRkZKKqKol4nHgshmmaL/HMBUEQXm9vdUmmZVlEo1HisRiqqhJKTnaXgWxgpmliGgayLBEI+PH5fM+13EXzaHg8HmRJxgGklV6/giAIG9Vbmy6O43CzuYkrly8xNTlFcUkJ+/bvp2J75as+tVfOcRz3D84vTfCfw2qAijAVBEF4CwM1Ho8zNzfHvbt3OH3qS858/RUTYxNsq6hgamqS2dlZNm3aTHo4Ha/X96pP96VyHAdd15Ek6f5yGEmSQIKEbrC4uEg0GsW27TVX+D7pfV4kmAVBEN4Gb1WgRmMxbre0cPnyJZquN9La0srw8BDRaIyurk7i8ThdHe3srq1j3/6D7KiqwvcbqlvfJLFYjKmpKebn50lODlFUVIwsy+5oEomEYTM/P8/i4gK6rv+mKl9BEAThUW9FoM7OzjA0OMjt27e5dvUKVy5fYmRoiNS0NA4eOkJqaiqzc7P09fRw9ocf6Ozo4O7du+zff5CKygqKSzaRmpr6qi9j3czNzXG9sZGWWzdJ6Dp19fXk5+Ujezwoiorm0ZAkiMdiLCwssLS4+FyBqqwEtCzLKIoipn0FQdjQ3uhAtW2b8bExbly/xo8XztF0o4nJyQkMXaeouIS9+/Zx5Oi7FBUXMzw8yPmzZ7l65QoT4+OcOf0VHbfbqa2r5fDRY9TW15OVlf3Gb549NzfHtcarfPb3v9PW1kpBQQFlZWXYtg2A3+8nKyuLrIwwiiwxPTnJ8NAgqWlpz+yS9KDVMDYtk0AgQCgU+k2vFwRBeNu8sYE6PDRE++3b3GxuornpBs3NN1hcWKS4uITdhw6zu7aO6poaKioqSUlNYUt5GVlZ2WzdVkHT9Ws0Nl6l/XYbY2Mj9PX1cbutlepdu9mxo4qCwsJXfXnPZXR0hJ8uXODM16e52dxMOD2d6ppdlJWX339GGgolU1G5g+0VFfT29dJz7x7tt29TVFxMRubatmEzTZO21lZuNjexHFkmPZxOZlY2gUDwZV6eIAjCa03529/+9rdXfRJrZRgGC/PzdHd3cf6Hs3z+2T84+8N3jAwP4/f7qdm1m/dOfsAf//xn3j1+gs2bt+DzuYVHXo+XgoJCyrdupaCggFByMhISy9Flenvu0dnRwejICKZpoajK/Z1WXqRY5/diGiYDA32c++EHvvjsn3R2tJOXl88f/vxv/PFPf6ZieyXKynIhVVXRVI35+Xn6+/uYGB8jkJRESekm8vLyn/lejuPQ39vLF1/8i2+/OcPS0hKVO6o4fOQY5Vu3EgyKUBUEYWN6YwLVsiy6ujr44fvvOf3lF3z37Te0trZiWgbbKrZz8sOP+MMf/8T+Awcp37rtiTd2r9dLRmYmBQVFlG7aRGpaKktLS4yOjDA8PMTIyDAD/X0sLC7i8/lJD2e89tPA3d1dnD51ilNffsHAQD/lW7fyhz/9mfc/+ICS0tKHzl9RFELJySxHInR3d9JzrwdJksgvLKSkdNP9LyBPMjoywo8XzvPNmdN0dbSTnh7m6LFjvHviBNnZuSjq6/8FRBAE4WV47QM1Eokw0N9PY+MVvjl9mq9Pf8W1q1dZWlqitLSUI0eOcvLDj/jgw4+ob9hDejj8zOYNqqqRHg6zpayM3Nw80sNhQqEQlmUyMjxER0c7gwODLEcixONxZEXG6/W9ds8Io9EorS23OPXFF3z3zRlmpmfYWb2TP/3bX3jv/ZPk5xc8tlDI4/GgqCpzs3OMDA8zOTVBPBZHURRUVUWSZTRNuz861/UE01PT9PX28OP5C3zz9Wna2loJJSdz5OhRTn7wEVU7q/F6vb/3RyAIgvDakJzXeAHh3Nwct2428dOFC9y4fo3ee/dI6Dqh5GRqdu3i6NF3qatvIDcvj5TU1OcaSVqWxcLCPKOjIzTfuMH5c2dpbmpidmaGcDhMcXEJtQ0NHDp8lJqaGlLT0l7Clf52hmFwrbGRU//6nJ9+vIBtW+x9Zz8ffvwx9Q17SEtPf/Q1uo5uGMiyTDwep/32bT77+//mu+++Ibq8zLaKCurr97CzZhebNm8iOycXHIexsVHa22/T2nKLW803GejrQ9FUjh17l7/+13+ntraOpFDoFXwKgiAIr4/XMlAnxse5091Na+stbly/xs0bTYyPj5EeDlNbV0fNrlp27d5N1c5qMrPWVkizFpOTk7TeusmtWze50dhIZ0c7k1NTZGZlsmtXLXvf2UfVzmq2VVSQkZm5bu/7W83Pz3GtsZEvPvuMa41X8Xg8HDx8mA8/+oTa+jqCwaQnvqbn3j1SU1Op2bWb7JwcOjva+e6bM1w4d46RkSFCoWQKi0soKCggnJEBtsPMzDS9fb303rvH2NgYWVlZHDt+gv/4z/9i34ED+P2BV/ApCIIgvF5em0C1bZtYLMboyAjXG69y7txZbt1sZmF+Hq/PR15eHg179nL02LtU7axe09Tu8zANg9n5OVqam/npwnmuXWtkoL+feDxGdnYOu2rrOHr0GLUNDeTm5uH3+3/XZ6yLCwv89ON5Pv/sM25cu0Y4HOb4e+/z0SefsHVbxSPPQB3HYXp6imtXr/LZP/5OT08PNTU1/Pkv/42GPXvRNI3+vl7Ofv89Z89+z727d4kuR9E8GurKlK9t2ximieM4eD0eauvr+W9//U8OHT6Kz/92d5sSBEFYq9dm2UxvTw9NTddpunadtrZWOjvaSeg6ZWXl7Nu/n7r6BrZVbKektJSkpEdHYOtF1TSyMrN4Z/8BcvPyqN61m8YrV7h86SID/f3Mzc3R19NDU9MN6uobqK2rZ/OWLS/tfB40PjbG+bM/8Pln/6Srs4PcvDw+/uRT3j3+HuXbtj32C8bw0BDnzv3AN1+fprWlhfz8Asq3bqO4uBiv14skSWzeUobX6yOvIJ+bzTcZHh7ESOhYtoUEyIpb9ZyeHqawqJiqnTvZsaNKhKkgCMIDXukINR6PMzU1SV9PD1euXObH8+e5092FJEmEwxls276dPXvfYf+BA2zbXolH0373c9R1nc6ODi79fJFrjVe5d+cOQ4ODKKpK5Y4dHD56jIaGBjZt2UJGRuYzq2Sfh2VZDA8NcfaH7/jy88+5d/cOW8rK+PgPf+TkBx9SUFj0yGsSiQQ99+7x04XznDlzmsH+fvLyC/j4k0858f5JtpSVPeY1cQYHhpiadptj2LaNBCBJaJpGamo6BYUFpKS8PV2lBEEQ1ssrC9R4LEpbWxuXLl7k+rVGujo7mZycIBAMUl1Tw6HDR6ir30NxcTHhjIxXWmGr6zoz09P09/dx/do1Lpw7S1tbK6ZhkJ2TQ+mmzezZu5cDBw5SWVW1zs8UHe7du8fXX53i9KlTjAwNUVm1gz//279z6MgxcnJzH6nktSyLlls3+fr0V/x44Twz09NUVlZx8sMPOXL0GFnZ2WhP+HJiWRa6nsC2bR78myGvVP4+6XWCIAgb3e8eqPPzc/Tcu0dn+22uXLlC0/XrDA4OkhQMUr5tG7X19dTV17Nrdy0FBa9fx6LBgQFuNjfR1HSdllu36O7qYn5ujoKiQvbvP0j9nj1UVlaxafNmUlJSXui94ok47W1tfPftN3xz5mvmZ+eo2bVrJUyPkJYefuQ1C/PzNDc3cfrUl1y5fBnTNNhdW8eHH33MvgMHCIczXuicBEEQhMf73QJV13Wmpqa42eQuTWm6fo2h4WFUVSUzM5Pa2nqOHDvG7ro6srKyn3vj65fNcRzi8TiTkxM0N93g/Nmz3LhxnbHRUfx+Pzk5OdTWNXDk6FF21daR8Zyj60gkwu3bbZz64l/8eOE8y5EI+w8c5E9/+jPvHDhIIPDoKHhxaYmff7zAl198zrXGRoLBIAcPudW/1bt2ERJLWwRBEF6a3yVQR4aHuXXrJjebm7jV3ERHezuzMzPk5uez95191NXXU7WzmrLyctLSHl0/+bqanZ3lbnc3t2+3cfXKZW41NzM8MkRycgqVlTuoa2hg9+5aqmtqyF1DW79V8/NzXL1yhTOnv+LKpZ9RFJV9Bw7wxz//G7t21z62KGtsbJQfz5/ni8/+SUdnOxkZmRw/8T7vnjhB1c5qsT2bIAjCS/bSAtUwDObm5hgcHKDp2jXOnv2e260txGJxMjIyKS4tYc/evRw8eJjKqp1v9OgpEonQ1trCzz/9xLXGq9y508XszBzJKcnU1Ozi0JEjNOzdS0F+IalpaU98Duk4DpMTE1y+9DOnvzrFreZmkoIBjp14j48++ZTauvpHXmMYBqOjI/zw3Xec+uJz7t65y6bNm/jwo0957+QHlG4qfe1bJwqCILwNXkqgmpZJd2cnly9d4lrjVe52d9Pf3wfAtortHDpylIY9DWzZUk52TvZb0RggFosxMT7G3bt3abxymZ8u/Mjdu92oqkpWdjZVVTup37OXd/btZ+u2ChTl0ZAbHh7i3A8/8NWpL+i5e5fsnBzee+8kJ06eZMuWMryPqSDu7Ozgm9Nfcfr0V0yMj7G9cgd/+MOfOHD4CAUFBSJMBUEQfifrGqjR6DKDA4Pc6e6ksbGRiz9eoLe3B7/PT3FxCTt27qSuYQ8NDXso37p1vd72teI4cKe7ixvXGrl2rZGO9nbudHdiWzbl2yrYf+AgdQ0NbN26laLikvtTsT337vHN16f57tszDAwMsHnzZt47+QHvvX+S0k2bH3mfSCRC++02vv3mDD989y0L8wvsrqvlD3/8M4eOHCH9MQVLgiAIwsuzLoFq2zbz83O0ttziwoULXG+8ykBfH4tLS2RkZLBr926OHjtOXV09eQX5BINJb8S2aM/LsiyWlyMMDw1x/do1zp39npabN1leXsYfCFBQWMjevfs4dvw4O6qq3A3Pvz7N16dOMTs3x44dO/j400/d5hK5eY+MMhcXFmhubuLUF//i0s8/Y5oGBw4e4o9//jfq6hteauMLQRAE4fFeOFCnp6Zpv91KS8strl9rpLWllcmJcdLDYXZW17Bn7ztU11RTWVlFVnb2ep33G2NsbJTOjnZuNjdzs6mJWzebmZyaIi83l7qGPZSVlzM/N0fLrVsk4nF21dVx/PgJ6hv2uL10f2V8bIyfL/7Et9+cofnGdQIrlbyf/OGP7Npd+1IaSwiCIAjP9lyBqusJYrE4E+PjNN24wflzP9B04zpTk5Mkp6RQVFjM7vo6jhw9Rs2u3aSH05Gljfssz3EcpqamuNXcxI8XznPj+nWGBgcxDLcbka7reDwa7+w7wF/++h/sP3iIjF+FqWmajAwN8dOPP3L69CnudHcRTg/z/gcfcvKjj9ixo+oVXZ0gCIIAz9nLt621hbt37nLjxnXaWm7R39fPcmSJ4tJSDh46wt533mHrtgoKiwpJSnpzq3fXiyRJZGVlsXfffgoKi6irb+DKpUtcvnSRrs5OFpeipKYmMTMzzeBAP+Vbt5GakoL6QDVwd3cX3359mh++/56xsVG2bCnj+HvuspiSktJXeHWCIAgCPGegfvaPf9DV2UlHRzt6IkF+QQHlZYeo29PA3n372V6545X03X3dJScns72ykrLyckpKSikpLaG5uZn2tjZGhofp7OwiEAgQDmeSk5NDWno60WiUzo52vjr1JRfOnmVhcYGdO6v58KNPOHTkKLl5ua/6sgRBEASeM1DPnP6K2dlZHGBndTUnP/iQhj17KSkpJSU1VYTpM2iaRuWOHeQXFLDnnX18/+23fPaP/01beyf37t5laGiQhcVF/AE/t242869//pMLF84hSTIHDx/mo48+YXdtHeGMV7cnqyAIgvCw5wrU2dk5IpEIWdnZNDTs4eNP/0Bxccl6n9tbzeP1kpWdTVZ2NpZl0dfXy8joOPF4nFgsysjwEK0tNzlz+jTXGq/i9Xo5dvw9Tn7wAbtr6x7belAQBEF4dZ4rULNXqnWDgSAFBUUiTF9QXn4+lTuq6OxoZ252junpaRqvXOFmcxNtrS1kZmVx4v2TfPzpH9iypeyV7rwjCIIgPN5zBarH40FVVWRZFjf3daBpGoFgkFByiMmJCW42NXGnu4vp6WkKi4r46JNPOfbucbaUlYvOR4IgCK+p5wpUd69MB8dxMAxjvc9pwzEMA0PXwVndGPwu2Tm57Kiq4sOPP+b4iZNk52y8NbzCq+EAS7pN3HQIajIeBSKGQ9x08CqQpMkoskTcdEhYNqos4VclNPm37Q5lOxAzbZZNB9uBgCoR8si8DntMxS2HhYSN6UCKRyKoPf28TNthQXfQLQePAkFNxqe8nCtJWA7Lhk3MdDBs9/flkSHJI5OsyTxpky7DdogaDjHLQZbc32NAffI5xi2HiG5j2OBTJIKahOclXdPb4rkCVVh/juNg2TYAgUCA6upq/vyXv7D/4CEyM7Ne8dkJG4XpwGTUonfBIGbabE3zkKTJNE0lGFwyyQsqVGd4CPsUZuIW/YsGDhJFSSolycpv2nJRtx36F03a53SihkNFusbuTO9vDub15zARNbk0mmA2blGR7mFnhodM/5O7uy0ZDtcmEowuu5/R9nSNoiTtieH2XGflwFTMon/JYGTJZDxms6hb6BakeGRKU1Qq0j0Uh9THfoaLukPXXIKeBRO/KlGT6aUs5ckFpJNRk5tTOrNxm8KQSlXYQ3bg7e1wtx5EoL5GDF1H83goLy/nxPsnOXTkqOjJK/yupqMW3w9GGYmYVKRraLLEom7z81iMGxMJqleCJcOnoMkSIxGLtlmdynQPWYEAQe23BCr0L5n8NBJnNm4hEaA6w8vrsEZgOmbz02ictskE5Rke/osk3i3w86Ssjxg2NyYTtM4k2JHuIcMnU5S0flcyuGRyfSLBzekEQ0smcwmbiGET0W2WDAdFgqKgwu4cHycK/VRneEn1Pvx4aEm3uT2j8/NYnFSPQqZffUagWlwZjzOwaLIry0tBkvpSA9Ww3R5Dqiy9FrMUz0ME6mvCcRwM08Tj8bCtooLqXbtISUl91aclbCCWAx2zOt8NxghoEieK/GT6ZQaWTOYTNrMJ250Kthw0RSLTLxPUJO4tGCzpNhVpGjszPKhrHGFatsN8wqZv0WAyarEr0+Ll7868FhIx02EwYnJtNM7teZ0sv8zWVI3CkPrYm33CchiOGNydM0jxyEQMBwdeOBgcoG/R4Ex/jH/1LnNn3sCnSoQ0mYAKHkVCsRymYxYjCwYdCyaTUQvDhv25PvwPTOkmLIeJqMW9eYOwzx3dPk3EcBhYMrm3YJAdVImZ9gtezZPNxS3GohZ+VaIg6fEj7DeBCNTXiG3byLJMMJhEKBRClsX0ivD7MGyHO3MG1ycTzCZsCkMe8pNUVFkiSZOoDntIUiU2JWuEve7zRFWWKE5WKU3W6F0w+G4ohl+VqEhfW6GiA5g2xE2HqOnwjPv7Gq8DdMut71Bl8CjyE0eVT2M77pS0GbdY1C0ujsTZme7heFHgsaM0BzewoqZDwnKw1umLwWTU5MveKP/rboThiMWWVI19ue5oMaBISJL7+fUtmtyciNM8q3NmIEZAkykMKmx94HfhOO5nEzPd5+HPykfLeTnX9GsR3aZ9VufmtE5RSCUnoKK9obWXIlBfI5Ik3S/0SiQSWJaJqopfkfDyLZsOP4/GuTmVoCSksj/PR7rXDY4Ur8z+XB9VYQ/JmvxQoBSHNE4U+vmfyxbnh2MUBBXKUrU1jVIlQJFAU9xiF3UdbqITUZPeBZOIYZMdkClP8xB6jruzJIEqScg+Ba8KQxGLU/1RMgMq7xb6+XVtzuoXDPc6pCeGuO24BUyro1dJAkV6/M8v6DY/j8b5rMcdmR7M8/Ff5SHeLfQR9j0c6hNRi2vjPv7RE+F0f5QLwzGq0jXS/cr9Z7+SBIosoSnun2fVF8nS2q7pRViOOwL/YSjGpfE4+3P9HMz1PzSyfpOIu/VraLWCWhB+L9NRi8aJBP1LJvtyfTRkefGt3NQkJHyqhO3I+FQJ5YE7a7JHZleGh3NBhZaZBF1zBuNRi7yggrzGihyJF58aXdWzYPB1f5ShZZP6LC+ZfvW5AtV2HCzHISWgUJaqsmg6XJtMUJYaY1uaRlHo0VunxNOvZVG3GV82V6ps3Z9yHAe/IpETVAh5fglJ24Ebkwk+712ma05nW5rGf5QlcbzQT7rv0evJDigcKvChyA4jEZO2WZ0fhmIUJ6scL3SbwEjSw+f4rM/8t/zs80pYDp1zBhdH4zRNJcgNqMzGrcde45tABKogbHDLhk33vMHtWZ2oaVOS/HDxyZLhcHNKZyRikp+kUh32EPK4NzxZgrDfrWq9PacwEbO4PasT8vhI8fz+o4wF3b2WOwsGmX4Fy36+L6a2404fpwdkGnJ9TMcszg3HOT8coyxV49PSAKnepz+SWf0+MRu3uD2jc2PSrQJWZXd5kGXDgm6hSBJb0zT2ZHvZlKIRUN0p9bbpBNcnEyRpMscL/RzO9z01aFI8Mg3ZPg7mJ+hbMmmeTlA/7eVIvv+hGYPV0XTgGQVkQU1Ge8kFQgnLZi5hrxRZOYwtW9xbMMgNKgTfwHlfEaiCsMGNRy1apxNMRk0y/eojQTGfcCtem6cS7M70kOlTKEnRHrrRbk3TqMnwcmfOoHkyQXmKRorn978h2s7qVKU7sjafc6LHdtyiqaAqU5aqUZnmYXzZomvO4FTfMpuTNfbnPTlQV0d1jgMt0zr/T/siF8fi+BVp5QuLSty06VkwmYzZ5AQURiIW/7U1iS0p7lrSuYRN1HAoT9XY8cCXmKfxqxLb0z0UhlQ6ZnSGIiYxyyYkK/enmB3cZ6nzCRv9KQ9G5xIWCcudnn4ZEpbDTMwiSZOpSPewbDgs6hZNUwmKQ+qan8W/TkSgCsIGN7ZscXfBwAHykxRCvxq56JbDeNRiYMkgL6gQfUxKZQcU8oMq1ybcad8F/eVVhIIbCou6zVLCxnDcADVtmIpbJCw3yJYNm+GIiU+VcBy3IjZJkwioay9UcoAkVaY208OiYTOyvMilsQTb06PkBBU2ryw7efBwqyNAy3aY021+HotzZiBG3Lb506Yge7O9pHgUDNvh1nSC8yMJOud00n0y+3K9bFk5pmW7x0rxyqR6lTWNFDVFoiSkUZikcntGZ0G3iRkOIc39oiFLEqYNAxGTL/uiDCyZTzxW95zBnXkDw3aQVl67nvoXDbrn3aro94v8JGkSN6cSXJ9IUB32iEAVBOHNMxWzmIxZpHhlSpO1R6YCZWmlU47qdv9RHjNQ0hS3aGUuYWM7biXpy2Q70D2nc2MiwXzCwaNK6JZD17zOYMRkNm7TNWfwVX+UXL8CskRBUGFH2LMyrbq2cNAtt/tRSbLKiSI/t2d0TvVF+X7l+WRuQCHwmC5KkuQW3LjdjBw2p2hUZWj8X9Wp1GT8EhTdczop3gj/s2uJkYjF4JKJvVKxpMpu0ZZtu4VMa5m9ViWJFI9MqkdGU9wR+mr19OozVNOBkYjJQsKmdVpHWnmPVbLsfiGZjVss6DaZfjfM13u+oXfRpHNWpzbLx6Gwj2SPzNCSu6xnNcjftOUzIlAFYYNb0G3m4+70Zn6SQuAx5bbu6Mb987hbnIwbcsuGDUhEX+KaRXCLhlpnDP6/OxFGlkxkWcJ2ILrSls90IGLo9C6aeB1QPRJ7s714VYm8oEJAXZfaTB0AACAASURBVNuSNNsBG/d5YlmKxqE8H20zOp1zBmeH4tRl+dgZ9iBJ0i+FRrjTxRJu28JDuT7KUzS2pGoPhSlAabLKtlSNVK/MXMJmMmaj2+6SH2klAR1Y8/pcCVBk94+0cjKPvtZBlcC70k5QlqSHnjUrK4EaNWWWTeelVCSZtsNCwmJet5ElKAyp+FWJ7wZjtM0k6J43GIqYFIe0Z1Yjv05EoArCBqdb7jrDgCoR0iSeZ8WCgxtyhg2GxXM/u1wzCYKqRJZfxXHc5SCWDbMJC9txrydJk8gOyCRJErImE/bJ+BXpuaYuDdvtfbs/10/3vMH/6IxwcSROdUaUgqCKKrsBBSuB6rjBlKwoHC/0Y9gwHbdpmkwwE7eIW+5nNR2zuDmZYCFuY0sSpuNg2e7I1HHcYykry1fWetryA8twHgzT1eOpEuQFVfbk+KjNdL8MWA/84Op7d8wZXB6LE195jrpeX5HilsP4solhQ6ZfIcUro0gS2QGVbWkal8cVhiMmrdM66T6F1FfwLP55iUAVhI1OenhpxAsPCH6HEYUiSezP9VGcpJKwHXyKRNxyuDQW54ehGGPLJjWZXj4uDVCe7MFwHEIeiWy/subp3lWrDRH8qsTmFJV3C/zcmEhwaSzOV/1RqsIeSpM1d/T+wAh+Nbht3MKvy2NxLozE6J53O0utTscuJCxmIybhZLfV4+oBVgPUcsBynLV9rNLKkp+VpvmS9Mtx7JXRqiJL5HhlDuX5+KAkcL946v4hVkbFP4/GGYqYDCyaOI573PUwHbNomdHRbYfKdI28ByrKy9M0KtM1hiImTVMJtqd7RKAKgvDmWK3+hF9GMc99HB4O55dFBopC6iPrQeOWQ/uMzrJpU5KscTjP/9g1o7/V6gjOo0jUZHh4r8hP/5JJ24zbqvGdHLctoyZLKyNKt/vUVMzixmSCK2MJbs8kmIhZRAwbjyyR4VfJ8ivETZtWJHRWnmWuzLL6VpovzMYtpqLWmn4vjgMzcZupmIVhuV80VpskrL5eAgKaRG5QIespDf/zg4q7s9A6/zJn4m5VedinsDXV81CTim1pGg1ZPnoWlrgxkeBYvp/y1Nehu/PaiEAVhA3OHX08f5DCwwHq8GKhDG4YLRsO+sqwanXqM6ApeJ/S5ce0HYyVtoHGyp8X9/Ax0v0K7xb66Vkw+bI/ysXRGHNxi4GI+UvHJFkiYTncmTf4X3eX+Xk0TopHYm+Oj+yAQm5AoSzNQ2lIpX/R4P+2Fmmb1UlYDrbjIEkyeSuBNxp1l5LUZ3ufWfk6FTO5MZlwe/6uNIxIemA98OoiGMt2l608TdxysOz1XTZjO+4yrIWETfZKF6cHt4TLD6rUZHo4PSAztGTSv2hi2DbaG7IPtAhUQdjg3Oef7ijM4vnCcPUZm42D40jPdRAJ7j/76180uTgaZ3TZxKdI2I67N2t5qoeKdI3coPrYULVWWvtZtlsYtC55+iseWaIy3cPBPB+3ZnR6Fwwmli10xyFrpSJWlSUM22EyajESMZAkh9osH/9ZnkRWQCHFI5PpV9BkGIua6CsjYEdyv0zIEpSlalSkeehdjPLTaJyKdA9h/5NHlabj0Dqt8+1AlN5Fk22pGuUp2v3Ach4oUFr9nT/Ni37JeuT8bDfw5xI2qV6FrID6yJ6xmiyxOUVjU7LG2LLNvQWD3kWTTcmeN6K/rwhUQdjg/KqEX3OXnSzqj2+avnoDftLoM2a6rzUst6J2rX15VytYnZWGDPbKUpPWmQTfD0aJmg7bwx5kYCruLoexcUjzKo/dKi4noFCX5SU/SaEy7HlmN6CnnttTRu5BTaYuy8vRfB9TUYvBGR1k97O0Vq7Fst3G76YNYZ/CrkwvRwv8Dx2nZSrBF31Ruqd1bFnCI7sFXRKwKVnjaIGfnkWTrjmDf95bxrQdDuf5yA2qpHrdjd6XDZvJmEXrtM6pvmWuT7rTqe8VBdiZ4eXBXkf3r2kNYenw5M9gdUMDw3bur+991hKXmGnTMWswHbOoDHvYEfY81MZyVW5QZW+Oj7Fli54FgxsTCfKD6hsxShWBKggbXE5ApTik0DlrMBIx3aUSv3J/ZPOEu/Bs3GY0YmLYDsma9JsKf1YPKUvuqG7JcBhftvAoEtvSPXxaGsSnwu0ZnZ9G4tyeMdiV4SWoPTpSq0j3kBNQ3Spfj0SG7/l2bFrLtPXmVI2PigPcmzcYnNPBsEnY7ih99bm0KrvHWTYcpuM2k1GTrICKbjtMLltcGkvww2CM8XmDzHQPiiRhrkzFhv0yh/P9zCZs/n43QsuMztiyReeswf5cL5VhDz5FZjBicmUsxrnhOF3zOn5V5qMSP3/cFKTsCc8f1zryXP25XwfwRNSic85gOm6SF1CpzvQS9j39d75kOLTO6CzpNrsyvRQmPT5+ZAkq0jVaZlSujSe4NaXzboGfpDdgiCoCVRA2uLJUjfosL3fnDPoW3QX/v/bgCPVxJmMWfYsGtgNZAZWkx4Tdkzg42LjPDh1Ak6Es1Z3eLE/V2JXpPjc0LNzG9xGTxBPmK1M88rq1PHSclXN6wkX7FImaTC+H83y0ziQYmDFImA6m5Y7cfIpEeaqHHWGNy2MJzg7FmE9YZPgUt5J2pXlCll9mMqBg2g6LutvT1nbcSuaikMqHxQFwHP7VG6V91uDrgSi3Z3SKQypeRWIyZnFv0WB82SI3qPBekZ9/35LEzgzPQx2hHNwpZTcc1zaf+8sXi4d/eDxq0Tgep2/RoGqlWUb4GQ3tZ2IW3XM683H7fqFR4gl/qWbjFqblNvrvmnO/6GX41XXZkchxHBYXF1FUhaRg0osf8AEiUAVhgysMqdRleflmIMZk1GI4YmI53vvPKH0KFCWpLKRpFCVpj7QmtG2HgSWDgSWTJE1iS4q2pr6zigRpPpnNyW5jg7DPLVAJajIH8nwr7+2+17Jh079oAG5ovuzF/kmaxJZUjTSfTIZfQXnCItDklYb0f4iYXPUlkBVWpifdFoc7Mjx8UBzAsuHqRILPe6MoEqR6ZQqSFPbn+KjNCvFzSKN7wSCgSlgrXy5Wl91sTtH446Yg6V6Fn8bidM7pDERM7szrK40cZMJ+mUP5Pg7k+jhR6Kci3fNIe0Wf6s5GbE3TSPXIJHuf/jsKaRIlIRVZYqXhxy8HlCTQbZuxqEWa13rm5uMO7lR2yCOzqLubykcNG/1XX1juV5w77vPUwiT3d7BsOpiOw+O3d187x3GYmZnhdlsrlmWxvXIHWVlZKMr67D0tAlUQNjhVgpJkd0uyiViCjlmdnRkeNqe4XWrSfQofFgfYk+0l7FMoCv1yW7Mch6GISfuswWTMpjLdQ02GZ03bb/lUicp0jaCaRNxyKA6p95edPHjzHlgy+bp/mebJBJl+hb05XpJf8trEkmSN/3NriLhlszXNc38ru1+TJdge9vB/qCH25/lxHHe5SX6SiiS5zSD25fpJ8ypsT/fSv2RgOZDhkylIUqnJ8FAY0ihL8zAaMckNKmT6Ht76TpagOFnjPVWmLE2jb9Hk7oLBaMREtxzSfQpb01RKQh62pKqUJGuPjZ10r8LBPB+bU1S8svuF4WmKQm6QLxlu+8GcwC9xURxSacj2MbBkEVtpUvE0EpAbVPi4JMB8wibZ47axtOCREaq7Fy1sSdXYk+Mj5JEpCqmo69BLOBaL0d3VyZmvTjEyOkptXR2HDx+lqroaTXvx5TkiUAVBIKjJbErRaJvRaZyIU5KsUZCkElAlkj0ye3K8j33dom7TOJGgeUrHBirDHqoyPCStoRjII0uUJmuUJj/5RnZv3uDboSjfDkTxKhLvFrnB/rKfp+UEFHKK/M/+QdzR5u4sL7uzHv8ZZfkVsvL91Gf7WNQtbMcN2iTtlyb9OQEFsh//+lXZAYXsgMLeHPdzn45bJEyHFK9EbkB1WxU+RbJHpirsoSq8tqbzq+/3OKlemeKQSk5AwXJYUxennIBCTmBtn+nLshyJ0HP3DlevXKG15RZ3uruYmZ5hYXGB7dsrSQ+HXyhYRaAKgoB3ZVuxZI9Ex6xO02SCEwU+Ak8oHFk1ErG4OBqnd8HdiWZXhjvSfdIU6W8xtmzy9UCUr/qXCWkyH5cEOZDrI/05C41etYAqEVDX55ab7JFJ9sg4awyz9TYbtxlZNlElibBffmT5y+tKNwwSug6AYRj09/Xx1akv6e/v4+ChQxw8dJhtFduRn7OiWASqIAhoMuxI91Cb5eXegsntGXfU+Y4qPTbAHGBJt7k5laBxIkFAlfigyE9Dtu+Fb662A0MRg4ujCZqn3CUgH5UE+MuWpPv9cgXXqwhTcNf6arLEzgyN7KD6xnzJ8fv9bN1WwYeffEI4I0x3Vxc99+4yPDTI2OgIU5OTNOx5h+2VlRQUFv7m44tAFQQBTZbYmu7h/eIgo8sOkzGTOwsmm9O0J94s5xI2o1EbjyJzON/Lv5eF2LoOe1hGTYcbkzpf9seIGw4niwPUZftwkO5PL77+Cyjebul+hWrViyK5S6T8z7OjwiuQmppKfUMDmzdvYdu2Cr779hsar1xhYmKc7q4u5ufm6Ojo4N0TJzhy5CjFJaWov2FWQQSqIAgAaBLU5/owJY17CwZhr4LX8/jnSRKgairlYT9/9XqoTPdQm7k+o5R5U+LOErTOWUjA5iUba8RAkQySNJkdYS/V6RJvxpjo7RRUJYJr3ALvdSLLMn5/gPyCAKlpaeTk5lJZWUXj1Stca7xCT28Ps7NzLC4sMDo0xJ59+6muriE7J2dNxxeBKggbnG3b2JaFg4PmQEOqw2afQ8w08JkWuv7oeNB0HGTdYWeSTW2yRLLHxDDcnaxfZFMSy3GYXTSR9Bi5msFswqZjwuTutNvvJzugoJo+ijx+UjzSurbGE9ZOWvmf1XHpi2yq8HuSJGlln1kJr9fL7to6cnJzCWdm4PV6uHHjOtNTU1y/1shAfx99/f1MT01R19BAfl4+waSnr1sVgSoIG9zCwjxTE5PE4jEUSUKR3b6rccthGZh8THs4G7dFoSy5a0UjkttH136BTTMlwMJhNgHpSzbvqA5LgOKAbbj/fygKxrhMT0zGL78ZN/G30kqYOvBG/hIkSUJRFTyaB93QycrKYs87+3CAK5d+ZnBwkPHxca5euczM9BRdHR0cOnqUPXv2EkpOfuJxRaAKwgbX19vLhXPnGB0ZwVlpmyfLMpL09O5ID27T9iI7zDx4PPc4MgYylqxgOtJDXX0SOCw4Fq2SjYKzbpteCxuXqigoqgqOQzwWRZJlAoEAiqIwOzND48w0PffuMTU9hZ5IUN+wh8ysrMcf63c+d0EQXjMT4+Nca2zkTncnjuMAEoriTvM6T5u/lbjfeP2pP/dbSRLy6tQcDwe120h/dduUN3BoJLx2ZFlGUVUURSERjxOPx/F43OI6x3EwdJ3Z2VnaWlvIyswkOydXBKogCI+XlZXF7rpacnKz7z//fFaTgJfpwZHvr09j9VmdiFJhvSiKisejIUkyExPj3OnqYnR0hFg0SiwWw+fzUVRcTNXOaraUlZMspnwFQXiSbdu3k1dQgKHr8IK9UtfNs05DJKrwIiSQJPl+D99EPM709DRXL19ifGyMwcFBJFkmLT2dLVu2sP/gYY4dP05V1U5CodATDysCVRA2uGAwieA677ohCG+Szs4Objbf4PLPPzPY349h6OTk5NKwdy+HjhyhpmYXJaWbCAQCTz2OCFRBEARhQ5qcmKC9vZ0L537g2zNf09fbQ2paOjU1u9hdV8+xd49Tv2fPU0elDxKBKgiCIGw4/X19nD93lh/Pn6el5SbDQ0Okh8O8884+Trx30l17WlBA0jPWnj5IBKogCIKwIRi6zuTkBL29vVy6eJEL58/S1tICksTO6hoOHjrE3n37qK2tf2Il79OIQBUEQXhJTNPENE0cx0FVVTRVfXUd7QV0Xae7u5vP//l3frrwI5HIEmnp6eyoquL9Dz7i0OEj5BcU4PP5nuv4IlAFQRBeguXlCMNDw4yNjWIaBhmZWRSXFJOWlv6qT21Dm52doa21lcHBfnbu3Mnho++y78BBdu6sJi8//4WOLQJVEARhnZimydLSEtPTU0xOTDA9Pc383BymYTA9M8PCwhzZ2TlkZGaRlpZ2f9mG8PvQNA+ZmVlsr9xBOBzm8JGjnHj/A7ZWVCCvw8yBCFRBEIR1Mj83R2trC50dHeiJOJlZ2eTl5WHbNlNTU7TcvIWDQ3n5Vur37CEjI/NVn/KGomoqW7dt46//+V8Yhs7mLWUUFhatS5jCCwaqJEnPvbO58AtFUfB4PKiqen83BLeXqnjWIghvDMdmYmKCO11dzM/PUVBQSEFhIenp6RiGgaKqyLLM5OQEw0NDpKal4dgO6eGwGKn+TmRZJmeldaAiy6x3I5PnC9SVfpqrf4QX4zgO8XgcXdcf+jxFoAobldtR+M3hOA4LCwvMzEyjeTzUN+yhZtcuJCTGRkdIJBIUFRWzs7qGyfEx7ty5Q19vDwA1oRB+v/8VX8HGosgv5wvMcwWq7djYto1h6MTjMWzbQX7MFk/C2kSjUe7e6WZwcJhgwK0us21bjP6FDcVyIGba6JaDKksEVGnl3znIgF+VUBVpZWs5G9t20GQJryKhyBK24xAzHWwH/KqM+hv/87Ec0C0H3bKRJAmfIuFRnnxfM2wH3QYkieWlCMP9A8TjMSord1BRWUlKSgqWaTI5OQFAKBQiKyuLrKwskCSamm4wOzuDaZrP/6EJr5XnnvJ1bIvFxQVut7Vy5dLPlG0tJzk55bnLjTeiWCzG0uIi1xqv0nTjOsNj4+SEU+nr66Ol5RbBpCTy8vJRVfGoW3j7dc8Z9CzoBFWZ7ekafkWhf9GgbUYnSZWpyvCQE1SZjlt0zuosGzb5QZXNKSopXgXHcY8xEbXYkqJRlqb9pvePGjZDEZP+RQNFlqhI81AUevJ/e3Nxm94li2VHITGzyFzfMMnESS0sxDJNpqammJ2ZZmJ8nKXIErIso2kakuxu5KooipiFess81506mJREUijE3Nws58+fY35+nt11dex9Zx/V1TUEgsH1Ps+3ztLiIrdu3aLx6mV+/uknhgYH8Mpuk+bmG9exTJO52TmOHjvGtortr/p0BeGlihg23w9GOTcSY2+2l6oMD4oscXNa5//tXCI/qJLslcnwKwwtmZzqW2YiarEv10eaL0CKV0GWJG5MJrg0FudogZ/cJIUkbe3D1EXdpnkqwfeDUbyKxH+Uh54aqCPLFj8Mx+hflglF4+TMxyiwZ+m5001fbz+R6DJLCwvMzc0Ri8UYTB1geGgITfOwvBwhsrhIVlaWmIl6izxXoL538iQzU1N0d3fT1dnBubM/0NXdSW9PD/19veyoqiIvv5BwOLze5/vGm5mZYXhokNutbVy+/DOXLl5kZnqKrJwc6ur34PP5mJ6eYqC/n1NffM7oyDD79h9ge2Ul+QWFYrQqvHXipsOdeYObUwn6Fk0asrwEVRlZgqmYRfe8gW45RAwbB1g2bQaXTIaXTbakaMQtt+5Aktwp4/4lg6ZJmR1hD1VhD96nTNs+KGY6DEVMmqZ0/IrEu4VP3758QbfpnjNom4dcQ8cfNynyOMiShGX/8tqH93N1sC0L27ZXig+VNT0rXkjYjC6bBDSZwpCKiODXk/K3v/3tb7/1RZs2b2bHzp0UFBSiKipLi4vMzs4y0NvLne5uxsfGkCSJ5OQUQk/ZO24jsW2bkZFhrly6yBeff8Y3Z05z+3YbiwsLFBYVc+TYu/zlv/2VE++fZNOWzeiJBIODA7S3tTEwMEAiEScpFCI5JUWEqvBWGVwyOTsU4868yeZkjeNFAbamaUgSjEQslgybslQP9Vk+coIKS4bNXMImzStTme5la5qHFK8bMYsJm9mEzUTMwpEkSkIqyZ61xc9cwqZjVqd9VscjS+zL81OZ7nnizw8smdya0ZlKQJIZITc+zrasJHbW7KJ0SzmFRUVkhMMEk5JITUujrHwru2vrKC0tJRRKZn5uHq/XQ2FRER6v98kn5sCtqQTfDkZZMhzKUlQ0UbPyWnquO3Nubh4A2dm5ZOfkUrF9O7du3aTp+jVu377NwMAAg4ODdLa3s6uulm3btlNSWrquJ/4m6e/vo/32bVpv3eTqlcu0tbQQi8cp3bSJgwcPU1ffwM6aGqp2VuP3+ykrLyMzI5OikhKuXPqZ3t4epiYnuHfvHg179lJXX09Z+Vbx/EV4K/QtGpwdjhE3HU4W+9kZ9rCaFw3ZXvKCCn5FpiikokoSpSGNv2xJImE5pHsVMny/BGZVhpfpuMX/6Fri59E472R7KUha221OAlTZLUTyKBLPGtjKEmiyhCY5+DWV1NQUkpNVfD7//dm5pKQAhmni8/vIzctzC5JwR622YxNdXsa2nzwSthwYjZj8OBrjy/4o7+T4OF7oxy++U7+WXujXkpycTMOePWzfvp2a3bvZtGkzly9dpKenh7bWFro6O2i+2cSRo8fYd+AgJSWlhJJCqNrb/7fBMAwikSX6e/u4dOkiP104T3dXF4sLC4SSk6mpq2P/gYMcPnSYrRXbCQaD95+lhELJHDh0mG0V26mo2M65H76n6cZ1Lv74I7337jEyNMjho8fYuq2CYFLSSxmxGoZBPBYjkUjc70X6IFmR8Xp9BAJ+PJ6nfLt+Tem6W6GuJ/THXp+iKHh9Xvz+AB7P40cpjuOQSCSIxWKYhoHm8RAIPPnnf800TRLxOPFEHBzw+Xz4fH4UdWOsSXQcSNgO9xZMhiImJSGVijSN8AMBmeqVUWQNVQK/JiFJbrVvTkDBssGrSmgPJF9OUGFH2EOqV2Fk2eLegkFV2ENAk3/TMhwJnhmoigQSDrZt4Q8EKEwpQrEmaWtrJXd+kZLSUmzbwePx4PV6kQDTNIhGY/Tcu4thGITD6U99hmpYDl3zOo0TCTpmDbL8CgOLJuk+5ZnnJ/z+XvhOLMsyySkp1OzaTTicQdXOKppu3ODKlUu0trRw6eJFxsfGaL/dzu7aWhoa9lJRuR1N+20VeG8SXTfoaG/jWmMjzTeu09Jyi9HRERRZoWL7Dg4cOsjuunq2lJVTXFz82M9CURSyc3I4ePgIOTm5lG3dytXLV+ju6uIf//g7nZ2dHDh0iHf27WdbxfZ1Ha1Gl5fp7u6io72dgf4+FhYWME3roZ7eXp+PkpISqmtq2L59B0lr3C/wdRCJROhsb6ejo52hoUGWFhYxLff6HMdd/+v3+yndtInqml1s215BMPBooZ1pmnR3ddJ49Qojw8OUlJRy8MgRSks3rWmh/uzMNC23bnHr5k0cHHbtqqVm1y4yMjM3xOxD3HL+//bu8ymuLM3z+Pfemz4TSEiShMR7760cctXT0z09O91rJnY39l/b9xOxO7PdZbqquoy8wQtJCISEsMJ7m+7euy8SIVRSSUiNJCSeT4QqogQkNxN0f3nOec5zeLAS5cl6FK9dpdpnoyDJit3y/LnfWYhwfTZEsk3lXJaTwkQLU5sxbs6EWIuYlHgt1PrtBJzx11sBMtwWanw2tqJhBpejFCdFqE+zY3uLaVJFAe0Nn29RFRR4Hqg5iWgTS/R238I7NommaaQFAvhSU3E6ndjtDiYnJuju6mJqcpKcvFxKSsuwv2ZnRMwwmd6KMbulE9JNpjZj9C6EyXBrZB5w5C0+nEP7idjtdoqKiykqLqa0rJz8wkIKCm5yt/8OM9NP+evXX3H/bj8jjx5x6swZSkvLSA8GD3xw66dgfX2N+bk5HgwMcPvWTa5dvcLYkydYbTZKS8sor6jixMmTtJ08SV7ewabAk5OTaWlro6ikhKKiYq5cvkzH7Vv09fUyPf2UifFx2k6eorKyivSMjL/7jcr6+jp9vb388P133L51k/m5OVRNxWF3gAIKCrFYlGgshj/Vz/DDh5xpn6GxqZlAIB3LEX+jtLKyQm93F3/7/ns6O26zuLiARbPERxCKgmmaeyeE+ANpPBoepv3cOeobGklNTX1hNiAWizE2NsoP33/Pvf5+mlvbKC4tPfDPdm1tjf47d/jLn/8D0zRRFZWCwgJ8qanHIlC3oia982Gmt3TKvDaa0uykOl58I9K7EOZ/D6yTl2AlP9FCboJlt8p3m6mtGL/JdpKdYN0LVAC3VaUxzc7sdnyEemcxQpXPzgGXUoF42M9t68xv6wDsn5RViU/ZzmzF2IgYRHUdi6aRmJiEO9VPYlISq6sr3OvvJzEpiUg0ws72NlarlWgsysTEOHabnaKiYvLyC351hBrWTZbDOroB2R4Lm1GTjajB9ZkQZclWCdQj6L38RHLz8klMTKKmppa+nh6uXrlMd1cnY2NjzM/Pc//+PRobmzize6NKSfn0T19YWlyktyc+LdvT3c3U0ynW19bwpabS2NTM+YtfUFNXR1ZmFsnv8HxTUlI4ceo0+QWFVFZXcfXyZe723+Gbr7/i/r17nD13nnMXL1JeXvHOU8CbGxv09nTz9ZdfcvnST8xMTxMIBCgpLSWQno6CgqIqbG9tMzM7y/TUFJd++pGpiQmWl5f54je/JSs7+52+94ewtrrG7Vs3+evXX3HrxnXm5uZICwQoLSkjLRDYfcMAm1tbTD99ytOpKX7423dMT0+xtrrK2XPnyQgGX3jM2O7U+ObWJjuhHfSYfuDrMQyDSCTC9vY2pmkSiYTj62nHpPvYTszgyVqUpZBBcZKV7ISXi20ihslGxGA7ZrBbzEvMhO2YwVbUIKybGL94veyaQo7HQopD5e5ihPGNGFHjzb2XFOXZZygshwy65kJYd/8uuu97WJR4E4kHK1EmN6KEYvHKXdPQCebk8dvf/Z6BwYeMjDymp6eb+bk5trY3SfJ6KSkppbyikuLiEoKZma+d7p3b1nmyHiPBqnIm6MDv0rjydIe7S2GGV52cCcpJcEfNewlUVVXxpabiS00lIyOTrOxsSsvK6enp5k5f7SEm+QAAIABJREFUL50dtxkfG2V0bJSHQ0PU1NZSVFxMenrG+7ic92p2ZobHjx9xp6+Xrs4OOm7dYmV5mYzMTE63n6Wuro76xiZqa+vwpab+Xd8rMTGRxMREAukBghlBsrKz6enq5MnICIuLi4yOjXLy5ClqausoLCp6q/6guq4zPDzMX7/5mp9+/IGdnS3qGxs5efIUlVXVpO5eu6IqhEIh5ufn6e3q4saN6/T0dKNZLGRn5xAIBLAecA3xQ4pEwgwNPuDbb77m6uVLGIZBc0srrSdOUlFegS/VF293p8DO9g6zs7N0dtzm9o0bdNy6hUWzEgxmEkhPf+EmqCkqFosFm82KZbdX60EpioKmaVitVkzTPHYb/UO6ydRWjPmdGFbVgduqvhQQqqLEC380Za9QSVXioWZV4x2SfvmKqQp4rCqqorAQ0pnb1tnRTbxvuB6F55E7s63z7dg2/YuR+NrnvkDVdmcylkLxamOnRcEwDAw9htPlJju/EIvDFa8zsNlxezxEwiESEhMpLimhrqGBYEbwVZfwgtH1GA+WIxQkWqn02SjwWnm8FqV7Pkz/YpipTScZbstbd4QS7897nzPwpfo4daadiqoq6hoaufzzT9y+dZOZmRmuX73Kg4H71NbVce7CRVpa2sjZLSE/ypudDcMgFNrh6eQUt2/f5PLPP3PvXj/ra+sYhkFNfT0nT57i3IWLVFVVkeRNPnChykEkJXk5deYMxaWl1NbW8tOPP9Hd2cGln35k5NEjzrS3c/b8BcorKnG5XG98LU3T5OnUJNevXeXWjetEoxHOnb/Ab/7xd7S2xE/E2AtnBUzDJKbrlJdXkORN5i9//g8GBu5z9cplgsFMikpKjtQauWEYjI2OcfXqZXq7u1EVhfbzF/jt735PY3PL7jFa6r7PN9F1nbLycpISk/jqyz9zp7eHwqIisrKzyc3Lex5+u4cZPPvztvZ/3XEKU4i37lsO6SyFdMKG8eKGzV0K+0eO+/5eefXfP/samxYvGtqOmsxu68xu6wScGq9fFn3+s4gaJusRE213ytd84bPi/78ZMQjpZnyf6y8eNxAI4G1vJ3oiiq7r8Sl9VcVmsx+om9yztdOZLZ3KFBulyTb8To3yZBt98xHuLUXomgtzIVvFaz+698rj5oNMwttsNgKBdBJOJpKeHqCmro7enm5uXLvK40ePWJif5+nTp/T39dHU1EJdQwMlpUd3W8jjR4/o7emmr6ebnp5uhoeG0E2TsrJymltaaW5pobSsnMKiQpxO13u5BpvNTlZWNh5PAoH0DAoKC+m8dYtHj4b5f//x7wwM3Ofs2fO0tJ2gvOL1RUtbW1t0dnZw+dJPrK6s0NLSyv/4n/+L6ro6Un7lMGQbUF1Tg2nCkycjfPvN13zz1ZekpqbiTUne21p1FGxubnDr1k0uX/qZ7e0t2k6e4r/99/9BbV09SUlJv/p1tXX16DGd0dEn/PD993z15V/wp6Xxxz/9Z/wvdbg5mr+rR5lpQsSAsA76q/MUeLdXNtGmkubUsKgK01sxHq5EyEnQ8Nl/fdbGNJ9NH5tkujXOBB3U++0vXcOzyeNHq1E658OshAxME4x9T0BVVZxOF+/S894wTVbCBqFYvKex0xLfwhMPVCsZLo3RtSi3ZkPU+W0SqEfIB13VdrldVFXXUFpWTkVFBbm5edy+dZPhoSFGHj1ieHCIe/13OTd6gRMnT1FUUozP58Ph+PgnMezs7LC0uMjIyGNuXr/O9WtXeDQ8TDQaJSOYSUVVNSdPnuL0mXZKSkvQPlDzBa/XS2vbCYqKSygtLePSzz/S091FT3cXczOzTE5Ocrr9DKWl5fjT0l45clxaXKSro4OHQ0Okp6dz7sJFTp0+88YCI1XVqKis5Ez7WaYmJwiFwuzsbBONRt/X031rOzs7DD54wPWrVxgdGaGwsIjzF7+g7cTJN84aWCwWamprOXf+PDMzM5iGydbm5t7ze3nUpKAo6oFnV+SIvhenWQ+T26qS6bHgtamsRXQm1qOshu2vD1Seh3qWW+OPBW7+WPDrbVRvzoTY0U165sOYsLfG+/daCcc7MAGUeq349hVclafYqPXb+H5im77FCGPrUXITrbKF5oj4KGViVquV0rJyklNSqK+vp6e7iyuXr3Cnr5d7d/tZXl7i7t1+GpuaOX36DNU1tbjc72ekdxBbW1vc7e/n5vWrdHd1MTj4gLXVVZxOJ/WNjbSfPUdjczM5OXkE0gIfZR+hz+fjxKlTZGVnU1Vdw5VLP3P/3j2++vLPDA4OcOp0O2fPnaeiogJ139qqYZjMzswwMT5OLBolNy+PvPz8A1fr2mw2GpuasFosKKpKSVkpyb8yqv0YJsbHuH71KgP376GqKgVFReTn5x94Ct7hdNLU0orFasdms1JeUYE3ORnglRvy41ORcnc7CtwWBY9NYTumEDNBP3i9GJrCG1sWOiwqFkU59MKg6a0YfQthXBaVmlQbGa7nt+nCJAvNATud82HGNmIMLEep8umkuY7H3uWj7qPVXVutVjIzs8jMzCInN5fsnDzKKiro6+lmZOQxly/9zMPBQUYeDcd72VZVkV9QSPLuzexDWFpaYnxsjPt3++nouE3n7VtMTU7iSUikrqGBurp6mppbaGhqOhJTnElJSSRVV5OTm0tmZhZXL1+ip6ebh0NDzM3O8mh4mAsXLtLY0kJmZiYAW1sbTE5OsLy0RGJSImVlFQSDmZimeaBgME2T/IJCMjOzcLpcR+5cx8mJCbq7O3k6NUlOTi4VFRVkZmdhmgaKcrCRZGFhEZlZ2bhdbpyu58/vl9WlpmliGAa6rh+o0towDEzz9f1iP3fPXkFV4Q3rm2/HMOO9f6OGidOi4LWruCwH/wbxSuLXDzm3ogYRwzz0ouylkMHYRozyZBu5CZYXrtvv1GhMs1OQaKVjLkTHXJi6VBupDidHuOzk2DgSG5kygplc/E0ytfX19Dc1c/nST3R23GZmeprvv/uWwQcDNDQ1cfb8xd39joH32s82FosxMzNNd1cXV37+md6eLuYXFjANg8KiYppaWrlw8SK19XX4/Wm4XrHp/2NKTEzkxKlTFBYWUltfz08//kBfbw8/fP8tWxsb+FJT9wJ1aWmJyckJ1tfXSUrykl9QEN8ic8C33Yqi4PF4wON5n0/pna2vrzM/P8/mxiYJiYnk5RcQCKQfOEwBPAkJr21c8Wzqdmtzg/HxMbzJ3r2p9VeNYq1WK7quM/pkhIWFBcLhMHab/a2u6XPybLr0sKZMIV4wNL4RY3FHJ9Wpkem27PX7Pcq2YyZbUROHppBoU3D84k2AVVUoTLRSmWKjfzHMvaUIfYsR6vx2Et5mo614L45EoCqKgtvtxu12k5ycTHpGOpVVVXR1dtJ5+xZDg4PMzs7yZOQJ9/rvUN/YSHV1Ddk5uYd+LRPj49y/d5fe3S0+fb19bG6uk5eXT3NLKw2NTVTV1FJaWkqS902F+B+P0+kkNz8fb3Iyqamp5Bfk09vTS0Ji4gvbaVaWl5mZnmZzcwN/Whr+tLR4QH4mdF0nEg4T02M4HI7diuXD/bW3WK1omsbkxARff/kXOjtuo+0OF345igWwaBqGYbC2vsb42BirKytkZAR3fy7HZ7pYUeJTq/reXlOTN+8WfTPdhNkdnSdrUVbDBgVJVrI8FlzW9/va7n903TCJmvElFVVVsKnKG0fgW1GTh6sRVsI6RUkWir1WtFe8sU11qjT6bXTMWRlcidC/GGZ+xyWBegQciUDdL94fuI2Kykqqa2opLC6i89YtxkZH6evp5uHgIP39dzh//iItbW3x/sCJiX/XtpRoNMra6ipjY6Pc3q0GHRwYIBqLkpCQQENTI20nTtLefo6Kykrcn1DgJHm9nG4/S3lFJW0nThEKhcjOyQHiU5Rrq6ssLMyzvbWNxfK8Y9DnQlXVvS0uiqq+lz2ymqahaRpzc3MsLS29sJ/0lz2CgRc+Fo1GCYVCBDOVI71V7H2wqOydBDO3rbO4o2OYL/bQjRnx/aoR3dyrojXMeMOHsG4Se8WUa1Q3mdiIMb4RwzDj06RpTu2V4bSfaca3q4R1E403j5gNM769JqybRA3zhSrfpZDB6HqUxZCOz6FRnmIj6Q2BtxLWuTkTYimk0xpwEHBpe28ynlEA3TTJTbRQ4rXStxCmdyFCz0IYv1M78Mk64v04coH6jMeTQG1tHal+P3V1DfR0dXLl0iUGHwzQefs2c7Oz9PZ209LSRuuJE5RXVL7T3sdYLMbgg3irwJ7uLu7dvcvE+Dg2m42q6mpOnjpNc2sbBQUFBIOZr+27eVQpikKq34/b4yEcDu1t5YnFYmxsbLC6ukY4HN49n/Hz+we5f5/n+3izYGJimiZWqxWXy43DsX/69tWBaprx1397e2tfVbT5ys//XNk1laBbw21Rd/eKxtBN84XgMzHRjXi4mXt/Fw8zfXeryi9fsYhhMrUZbxvosapkuDQ8BwiaZ6/+s8d+09roL69jv6nNGD9O7nBnMUxFio00l/bGQN2ImAwuR9mIGlT7TNYjBksh44XH3tuXqyikOTVsqsLjtXhv4zKvjZrUo9dU5Tg5soEK8QbsBQWFFBQUkp9fQE5OHp0dtxkYiJ8ROvL4MQ8HBxkbG6W17QSlZeVkZmUdaMpyY2ODp1NTDD8c4uaN69y+eZOx0SdoVislpaXU1TfQ0tpGa1sb+QWFH+DZvn9Op/OFoqFno6e929chZk00FiUaie4WNx3yg79W/A777HzJeOHPK+66h0iPxdB1nWAwk6aWVnJycrDsVnq/6qasqPEu/IsLizx4MMDA/Xt7xUzHicuiUphow+cIMbsVY2oz9lIw5SRYOB10kOmxkGKPHzqeYlep8dlId2sUJllx/2IqN6qbTG7EWAobpLniB3K/ZrfMHqdFISfBQnOaHbumkOZ6fQB67SoVKfEtK6XJVhJtz69DUxV0Axa2DWYcOuE3DHdN2NtratUUokb8cPWQ/vIIXFMVLApkeTTaMx0shgzsmrJ30Lr4eI50oO6XX1BAqt9PQ2MjPT3dXP75Z3q6OxkfH2ftyy/p6+ulubmFs+fOU1ffEO8P/CujkaWlJfp6e7hy+RK9XZ2MPHlCLBolNS2N+oZGzp2/QGNTE+kZQRI/4wPSLRYLXm8yqal+nC4nhq4TjcYO5bEX5ucZHxsjtLMTXxv8QNPI5m6AZgQzSfJ6icViu9O9SrzDU+xwnt9+sWgMwzAIZmbym3/4LU0tzc+L5l51j1PivXaePH6MxWplcnIi3rruNedifo5cFoXSZCvZHgu3Z0NMb+mEogaOfWv8jX4bidZE3FaFvMT4mmJ2goV/KXCzEzMJuDV8v2iov6ObTG7G2IoaVPscFCdZsRyghDjJrtLktxNwWNBUKEl6/YxXllvjt9kuWgMGXptK+r6tK3mJFk5kOFiJGHisyhsPBDdNE69d4UKWk/WIQYIt/jWqorz0O6TsVkRXJNsIui1EDJNku0qGW7bOfGyfTKBqmobX68Xr9eLz+wlmZlJVVUVnVwcD9+/T29PN+OgoI48f09p2gtq6OsoqKvcO9AWYnZ1l8MEAd/v76e7qpL+vl7m5OVL9flpa22hobKK+vp7K6pq93rWfM1VVyQgGKSoq4k5fLzs7OywvLbGzs/1WHZ62NjeZX5hnZWmZJK8Xf1oaDwYG+PO//1/mZmexfcB12Wg0Gu/T29pK24mTRCMRbDYbNquNSDjC2uoKsWj0rU7FmZiYYHJ8HEVRSM9IJyOYidPp3G09+HwU7HK7yczKIhjMPNDjxqJRUlJSsNlse+3pjhOHplCRYqPKZ6NrPsz8ts5iyMDr2B9MVoJuy+5h3vERqs+hkeBX90Z1vwyr1bDO1GYMVYEGv52KFBuWA/z+uSwq+YlWsjzWvfaFr5NsV/H4bBjET6DZ//lJNpWAO35m6VbUJPqG90oKkGTXqPerL6wZ/9plm4BNVbDv9jg2efO+WfH+fTKBup/f76f97Dlqa2upqavjyuVLdNy+zeiTEa5dvcLQ0CANDY2cu3CRpuYWEpOSWFleoqe7m59//IE7fX2sra3hdruob2ik9cQJzp47T01t3W5f1+PzTi8QCFBaXo4vNZWlxUWGHw5SXVP9VtPc09PT8c5RD4cpr6zkzNmzbG1uMj42xsT4OHaHY3f98j0+kV3hSARDN0gLBKisqMJms5GU5MXldrO+sc6jR8OUlpW/dGrM6ww+GODbb74mFo1y4tRpvviH3+J0OuOjB56v0eq6Tmhn58B7eHd2dohGo28M0mfFSxDfcvO5FI1pKmR6NBrS7FybDrESNuleCJNkV/Hvdgeyqi+P7jQlPj37KpsRg8erMXZiJvmJVhr8NrITLAdacFAVsGnKG4P0+fUraL8yKxw1nu+DtaoKb1rBVRQFuxYPxQTiSwVvenv1a72MxcfzSQYqxEesKb5UWttOkJ6RQV19A7dv3eTG9euMjT7hyuVLjI+Ncfnnn3A6nWxtbTE5OcGj4WHC4TDFJSWcOtNOU1MzZeUV5OTm4HZ/OtW7h8Xt8ZCXn4/Pl8rDoUH6enuoq294q0B98uQxf/vuOx7cv8/OzjZNzc1UVlXzX/71X1laXESzWD/YMVO6rmMYJkXFxRQUFjIzM01GMD51v7S0SF9vD2XlFaRnZBwomKLRGONjo1y/eoW11TWcLhcnTp6EQCBewLXvrve2jR3i12q8HKj7risWizE/N8fCwjyqppKeHsTv9x/49TjqFKA82cqZoINrM2G+Hd/G79C4mP1uDUKGVqL0LURItKlU+awUJlk/eOiYwFo4fgxfc8BOil3F53y7Yj8Jy0/TJxuoz7jc7t3zBUspKiqmoLCIro7bDD8c5tGjYW7fvkUkEtndg+gjKyubkrIyWlpbOXHq9N91fujnQFVVUv1+srKyURWVocFBent7qKiqJviGUZxpmszMTNPf18edO308nZxkeXkZVVEpKi4mMytzd2T1IW8N8XByOOJTsg6ng5LSMvrv3OHBg/v09PRQXlFJaVkZaWmB1z6SYRiMPhnh8eNHzMzMsLGxwdrqKrq+O3/3nt4lPAv69fV17vT18mDgPpsbG9gdDtLTM8gvKCAnJxefz/fBeka/T0G3hS+ynTzd0hnbiDK4EqEpYMdjVd+qR61uwthGjNnt+Aktv8l2kur8OLNNJsQbSngs+Ozae98DK46GT/9f4y6L1UJpeTn+QID6hga6Ozu59POPdN7uYGFhHq83maamFs5dvEhjYzPZuTmkpPiOdZg+4/EkUF5ZSWFxMaNPRujq6KC4pJT29rOvPcN1dnaGq5cv09Fxm/W1NbzJKaSlpeHYrSR+19M2DlMwM4uqqipu38zmbn8f42Oj9HR3U1pWTlvbCRJfc9rMzPRTrl29zL3+fgAygkHS0tNx7FYQH/6ap/JCw/yHQ4P8n3/7N4aGBsnMyiIhIYGhwSF6e3tobGrm7Lnzn8Vo1WNVqffbmdyM0TWnYAIzW7F4EdJbJKphmmiKSbpLpcHvoDHNjtv64beBKcT317qtCjZNOdD6rfg8fFZpYrVaCQQCBAIB0jMyyMrKorKymqmpSVJT/bSdPElzSyvBzIMVjRwXTqeT5pYWpibHmZ+bpburE5fbjaIonD7T/soCrcXFRW7euM5Xf/kLHbduY5omtXV11Dc2vjakPjS73U5xSSnNLa0MDz/k4dAQ169ewelwYhgGbSdO4PW+3B96ZmaGK5cv8d23f6X/zh2sFiv19Q00NDbtdch6H0VEFquVWCzGxMQ4Vy5fov9OHw6Xk+qaWnw+H9PTT7nT28vO9jY5Obl4vd4jdfbsu1AUSLCpnAk6CLotWNR4y723jSEFKPba8No1ipOsH7VzULxASIL0uPmsAnW/rKxsfL5U6uobmF+Yx2azk5Ob+9rzL48rm81GSWkp7efOM/JkhEs//URXZweaphGJRKirb8Dne36CzMbGOl0dnfz1m6/p6e5ka2uTyspKzp4/T0NTM56Eo7UWner3c+rMGVbXVrFZbQwPP+Ta1cugQCgUoqamliTv89+LtdU1rl+7xrfffEX/nTtEIhGKS0o5dbqduroGEna3Uj3boqPr+u566NtV6u5fczVNE9M0UFUVXdeZmZ5mbXWV0rIyGpqa+Zc//glfaiqDDwZ4NDzM2OgoM9PTVFVXf/KB+ky2x0q6y7JXvau9Zbd8TY1vwyn2Wt+4TUWI9+GzDVRFUXC5XLhyc8nMzgb4LLsAHRaLxUJNTS3/+b/8VxSgs6ODWzeuMzP9lKzsHBL2NYcPhUKMj43xcGiQ7a1tqqqq+Kc//DMXv/gHcvPysFqO1g3eZrNRWlaO1WojLS2NH77/ngcDA1y7cpmpyUmCmZm43c8PONjZ3mFk5DHDD4eIxmLU1tbyuz/8M+cvXCArO3tvStYwzd29u1HC4fDelp2DehbGkUgE04zvkY1GI6iKQjCYyfmLXwBQVFy8N6uSnJKCAoRCYUzT+GzCFOIjVdvfsfVD4eUtNEJ8SJ9toO4nQXowSV4v585fwO1ykZ6ewZ2+Pubn53g69RQTc3cCK/5fzaKRkREkNy+PU6dPc/bceYpKSv+unsrvk8fjoaa2lkAgjWAwk2tXr3Dvbj8zM9OMjY6+VF+kaRrZ2TnkFxZw5sxZzp4/T0FB4Qv7VxVFweX2EEhPJycnh7S0AA7nwVtTWq02krxeMjPjx+Uleb1gxr93fkEB+QUFAITDYcbHx5ifm6e/ry9epV5cTHZ2zmcVqEJ86o5FoIqD83gSaG49QUYwi6bmFh4OPWR+fpZQKLTXCzd+OlB8u01VVTUFhQWk+tOObJjuF0jPoP3sOQqLihi4f5/hh0MsLi4SjUaJ9y8CVdXweNzk5xdQWV1DQUEB/rS0lwrYNE0jIxikpe0Ewaws8vML8PlSD7xP1OPxUFxSQvu585imSXFxCW63B+UXbwAXFhb44bvvuH7tKvNzC3i9idTW15OZnXVIr4oQ4jBIoIqXeDweysrLycvPp66+gZWVZUKh8G5T7ngVqsWikZ6RQWbmp3dT9yYn401OJi8vn/r6BtbW1ojG9gWqomJ32EnPyCA9PeNXH0fTNLJycmi32djc3CQxMQF/IO3AMyKJiYlU7HbzMs14w5KExMSXAtkwDJwuFyk+H6BitWrEolHW1zdITk7Bvlt1LIT4uBTzuPU7E2+0tbXJ5uYmhmFgt9txOp1o6vN+vJubm8zNzmC12cjNzfukpx11XcfQ9Ze60iiKcqDntb+oSFUUVE07cKA+K0oydpviP/vaXwbqs1OBdra3GR19wtdffsny8jLtZ89xpr2d7Jycz6Z7khCfMhmhipc8Gh6mt6cb0zSpqq6htq5u7/QWgIWFeX742/domsY//PZ3FBUXf7I39Gdnmb4rVVXfeY1eUZRXfn/TNIlEIkB824/FYiE5OZnk5GQSEhO5dfMmgwPx/tWZWZlkBIOf9JsaIT4XEqjiJRPj41y9fJlwOIxpQE5OLhnBeIeGWDTG0OAgf/36KxwOJxUVVRQWFX2ygXoUGYbB/Nwcy8vL8QKxjAw8u1XWhqGjqgq6HmNjY52tra1j11RfiKNKAlW8JBKJsLGxTigUYmdn+4VzOqPRKDvb22xsbKDrBpFIGMMwpJL6EBmGwfTTKXp7e4hGY9TV13Pq9Bk0TWNzc5OlhUUM3SAYDJKenn6sDnMQ4iiTQBUv0SwaVpsNwzCwWLUXRp+maaKqKg6HK37iiqrJCOmQKYqC0+kktLNDV1cno09GWFtbIzEhgaHBQe7du4vT5aK2rp68/HwJVCGOCAlU8UrPtse8qn3ahzqK7bjSNI3C4mIWlxcZGLjP/fv32NjYQFUVZmdmWV9fp63tBOUVFSS/om2iEOLjkEAV4oh5ts+3pqaOlX9aYeDePcKRCKGdHTyeBNLTM2hpbSM7JxdVRqdCHBkSqEIcUampfn73+z/Q0tLG4uIioZ1t3LudmXypqXJSkhBHjPyLFOIIc7lcuHJySAsEiMVie9tohBBHj/zLFOITYLfbpSOSEEec7HUQQgghDoEEqhBCCHEIJFCFEEKIQyCBKoQQQhwCCVQhhBDiEEigCiGEEIdAAlUIIYQ4BBKoQgghxCGQQBVCCCEOgQSqEEIIcQgkUIUQQohDIIEqhBBCHAIJVCGEEOIQSKAKIYQQh0ACVQghhDgEEqhCCCHEIZBAFUIIIQ6BBKoQQghxCCRQhRBCiEMggSqEEEIcAglUIYQQ4hBIoAohhBCHQAJVvJJpmpim+c4fF0KI48bysS9AHD2xWIxIJEw4HCYajb4QnKZpxj8eDmOxWIjFYh/xSoUQ4uiQQBUvsVqtuFxuNFXDbrejqs8nMhRFwWaz4XS5cDqd2Gy2j3ilQghxdEigipf4/X4qq6oxdJ3c3DzsDsfex6w2K+kZGVRWVeFwOklLS0PTtI94tUIIcTRIoIqX5OTk0n72PIoCwWAmbrd772NWq5X8/Hy++M1vsNhsZGZlvTCCFUKI40oxpbJE/EI4HF8/fTa9a7VaXwjNaCTC+vo6iqqQlOSVEaoQQiCBKoQQQhwKmasTQgghDoGsoYo3MnSdUDgc/x/TRFU1rDarTPUKIcQ+EqjiZSZsbW+xvb3F8tIyc3OzbG5sYJomhmmgqRbcbheBQDrBrCwSExM/9hULIcRHJ4EqXjI3N0tPTzf3+vsZHX3C4uIC4VAoHqiGgWmCw2GnqLiE02faaTt5ikAg8LEvWwghPioJVLFH13XGx8e4ee0aP/34A93dXawsL+NwOvAmJeNyu7Db7WxtbjKytMTjR4+YfvqU+fl5Tp0+Q05uLh6P52M/DSGE+CikylfsGX3yhK++/DM/fP89I48fs729RVogndLSEkpKy8gIBvEmJ7O0sEhfby93+nrZ2NzA50vlTHs7v/+nf6appQW73f6xn4oQQnxwMkIVxGIxJsY+ey7DAAAFeUlEQVTG+PGHv/HNl1/yYOA+vlQ/J06epLm1jcLCQrKzc/ClpuJJSGBjfY3K6mpycnO4dvUKD+4PsLG+RiwWw2azUdfQgNVq/dhPSwghPigJVMHm5gY3blzjm6++ZHRslIxgkHMXvuD3f/gDDY1NOB0ONItlr7mD0+kkxZeKPy2NQHo6f7H+PwYG7nHpp5/w+VLJCAbJys7+yM9KCCE+LAlUwdLSEn29vQzcv0dCYiIXLn7Bn/7rv1JVXf1C28H9LBYLJSWlOJ1Otre2WVtbZezJKL093TQ2NeNNTpb1VCHEsSKBesxFIhEmxscYHX2Cqmo0t7byh//0R5pbW1EV5bVfqygKOTm5nL/4BQsL86ytrfFo+CG3bt4gIxikvKIC5Q2PIYQQnwvplHTMLS7M8+jhQxbm5wmkp3Py1Gmqa2veGKb7FRcXx6t8c3KZnZmh49ZNHg4NEo1G3+OVCyHE0SKBeoyZpsn09FOGhoZYWV4mxZdKYVExSUnet3ocu8NBSUkZ+fn56IbOo0fDjDx+TCi0856uXAghjh4J1GPMNE2WFpeYmppifX0dzRJvKfgu3B43/rQ0PAkJbG1tsby8TCgUOuQrFkKIo0sC9ZgLhUJsbW4QjURRAMx3W/PUNA23243T6cQ0TWKxKIZuHOq1CiHEUSaBeuzFAzRePGRimu8WgoZpohsGhmGiqiqapklBkhDiWJFAFYfC0HV2trfZ2d7GMAxQlPgfIYQ4JmTbzDFnmubeH0VR9po3vK1oNMra2hpra2uoqoppmiBdLYUQx4iMUI+5ZyH6bHr2XVs7b25usLa6yvZ2vLLXolneOZyFEOJTJHe8Y85ut+NyubFarei6TiQSeevHiETCzC/MxyuFNY2kpCS8Xi92h+M9XLEQQhxNEqjHmKIoJHmTSAuk4/a4WV5eZnhoiNnZ2bd6nMWFBYYePGB+fp7kZC9lZeXk5+fjkEAVQhwjEqjHmKIopPh8ZOfmkJySwtTkJD/++AN9Pd3oun7gxxkdHaWrs4PJyQnSAmm0tLVRVlEhJ84IIY4VCdRjzu/3U15RSUZGBsvLy3Tcusnfvv+O3t4etre33/j1c3NzdHd2cKevj83NDQoKi2g9cZLcvDzZNiOEOFakyveYS0ryUl5eTklpGffu3mV9fY1bN67jcrmJRqI0Njdjt9le+bWzMzPcuH6NWzdusLy0REZGkNq6ekrLynG75aQZIcTxIoF6zGmaRmZWNu3nzrO0uMiN69d4/PgR4XCE9fU1xkafkJOTE19ndbvR9RgrKyssLCww+OABt25cp7u7C6vVxqnTZzh3/gLp6ekyOhVCHDsSqAKX00nbiZOYhoGmWeju6mBtbY3vv/uW/v47FBcVU1JaRorPRzQaYXJigpHHj3kyMsLKyjKKqtLY1MQ//u73NDQ2STGSEOJYUsx33XgoPjvLS0sMPhigu6uLzo7bdHd1sbC4QILHQ1paGi6XG93QWVlZYWlxke2tLQLpAU6ebudf/vQnzrSfw+/3f+ynIYQQH4UEqnjJ9NOndHV2cvPGdYYfDrGxsY5hGPGuv4oCJiiqgsfjoaiomPNffMHpM+1vfeybEEJ8TiRQxSutrKwwNzvLwsIca6trhMNhMAElvu5qtdlISkzCn5ZGeka6hKkQ4tiTQBVvZBgGsVgMhfiJNIqqomkW6X0vhBD7SKAKIYQQh0AaOwghhBCHQAJVCCGEOAQSqEIIIcQhkEAVQgghDoEEqhBCCHEIJFCFEEKIQyCBKoQQQhwCCVQhhBDiEEigCiGEEIdAAlUIIYQ4BBKoQgghxCGQQBVCCCEOgQSqEEIIcQgkUIUQQohDIIEqhBBCHAIJVCGEEOIQSKAKIYQQh+D/A6VyKnVboSXiAAAAAElFTkSuQmCC)
End product of the following sequence of reaction is :
![](data:image/png;base64,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)
chemistry-General
chemistry-
Arrange in the increasing order of boiling points:
i) ![](data:image/png;base64,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)
ii) 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)
iii) 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)
iv) ![](data:image/png;base64,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)
Arrange in the increasing order of boiling points:
i) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAACGCAYAAACG7zd0AAAXlElEQVR4nO2dV1scWZqg3zAZ6ciEJEkSSLz3IBBGKkmUykzXbNfMzjz7D/aH7c3u1ez2zrTZnlZPl6SSkJABJIQTCIRNBIlNb8LtBVIVVSVDAqnSPst7URf1ZESceHXimO+c7yCYpmlyDgDir12AT4lzGUc4l3GEcxlHOJdxhHMZRziXcYRzGUc4l3GEcxlHOJdxBDn3jzAxdQ1dN9BNQBARJRlZEhDeeYnJDxMm4T2/e3P/H3+M8P4fv5ccy9AgusGr9U1e7USIqhKmxYmrKEBxIECZ+5cFMDNx0vEI4YSBKjnJcztxOSxIv7i3CaikYxHikSRJwY7F4SbfqWA94VvlRoYRJ70bZGt5jvn5BV4sb7MZTpEyBATJiq2glMLyRmrqG2moLibgc+J6XRIjGmTvxTPGlzT2HQ00ddXRVl2A860PihJZnWB+apVVoYL8+m566r2UuE5WPXIgI01m4ymzd2/w3e1RHryIsEceNpcLt81AUmPEIgliegG2ij46rnzBV190M1ifd/jC4VV2nv2Nu/fTrBaqqD4/tW+VYYIZYf/lIyb+9pBHQh9leg1VZR5KXL+sR8fhbGXoEdStp0x+9wf+/OcRhldMYp466hprqSvzUujQkdIHHGwssLqwyNzzG9zdPyCq6ZjWQQbKrLj0CKntJVYXkswXd9IVy6C+84EpUvtBthbnWBDK0DpTJN/94w9ypjLM/XmCD//E3/4yzM1FN1LHl3zz26/56kKAunwZWQQMHT2+xPbUbW7/nxv8x/hdRv/qQC4ow/N3dXRZLIiKgmLRUGQJWRTf04AKCKKMZFGwCDKW9zXKx+AMZRywtzrBxPAjHi+axANX+fKr/8Q/f9lBm4efFrKoGF9RAc5MBDPyF/5ldpSJe220t3jwuRV0SUGxqFgsEqL4rhcUXvdMEpIsIwsSkni63uSMxhkqaOtsLMzwdHqfbWsLtVf+jqHBBtp/LuINziaq+q7zxedtdLp3ybwYZfrFK+b3BVK6eFgjRAnZYkF56zMFQMEiH9a409SIN5yRjCQcrLCzts7ynoTpraW6pZFyv+39l5VWE+hooq4E8iIrbCxts7qpkVb54ZMyNPUdbYYJaKi6gXE2L3FGn4megr1NortR9nQXSlExpWUunNYPXCe5UEorKSnOo3ApQmRrn+1iiRLdwCrskgg+ZuxGAstGKS4MRFXHQAAELFYdPb3N+uMppnYyRLwKggDirz7o0jWIx0nHVZKmHclhJ88loFg+dKEV0e7C6bThkFPsJWMkEg4MU0cxt4mtH/DwjxMs3rUimSaCaQICJiCKJqaeIbm/RcLIx/BaEAUB6VeXYZigqRi6iS5YsMgSFtk8xjcogiQjyhIiJoamoWkZDAN00YHsKqSo1E9duRsrJoJuYCJgIiDJBqYaZ39F59W2TlgwME04zcLH2ciQJLBZkRUJxcxgZFQyGdA/eKGGqaVIpTOkdAlRsWJVRAQE0qIfd81nXP3Hq3x7pYpC00RUNQwETEQsNg0jtc78jX/h1r+PM0YawzQP5z8n5IxkWKCgAEe+FRe77EejHBzopNMyvLfdSGCE94hEksRNF1Z3Pm63gbQjYZhWZIcfX2UD9fXVFP/iWhOwok4W8swqoZjGD//3pJxNbyLawVONt8xHmTOGurnM0otNdmIfuC69Q2RxgdVgkj2Lj8JyH4FSO1ZFwNBf9xHCu4oo/Phf83QSfniNM7gHYANHLcVV9TRWWLCFX/DyyRjzyztE33mNSmJxjrnRWV6ELKi+RqrrfNT4Bayyiaa/npq/90XNU7URP+eMZIgg+vA1dtN7qZE6Z5CdB//KX//4HTeevGIl8bOfZ16xP/sfDP/xT/zh1jILQg3+3st0N/mocepYBQPNABMT0zTeIcM4jHscjX2ckjMcjltwlrXSfOU6V4IRQt/P8vKuwO+NFHuXOrnYXEKJDUR1h/3FMZ4/vsOt2zNMRvy4L17ls2sX6Cx14QmmEdQ06YxKJqOjG+972cPAkaZmyAgaqn66mnK2s1allPymL7nyLQjWW9x6ssLinf/O754UcMvjwm0VEbQoib0dwtEMMaWR4qvX+Ozrr/i6s4ByGwiZDGoqSSqVJJlSyejvk2FgaGnUZJKUkCatGp9Ab/IDCjhqqeiz8pt8L4VlD7n3eJa51U1CC6tsIGIiIdk9FJR309V9hd5LA3zWHqDadXgH1eHHXXuRroEMXk81tUX293RIebgCrdT3p4kKbZRU5ZFvO/moS8jN/gwTMvtEdncIbb4itBliaydCJAOGJQ9noR+f34+/xI/PW4jX8WPjZST3SexvE4oYpGQPnuICitxW3j6YTZHcDbG/EyGCC8VTjL/AhlM5mZAcyfg5BqSTJFUwFCdW5aNEorPmI8n4f4OP9g+UzmRIJhNgGFitVqxWG6J0slhlrvhoMkJbm6yurGAYOiWlZZSXV2C32z/W44/FR5SxxeSzCVRNo03V8BX5/v+VEY/FCG1uklZVKioq0DTtYz362Hw0GaL4OnhrGAiCiHCayG2O+GgyBEFAei1DFD/N9e5Ps1S/EucyjnAu4wjnMo5wLuMI5zKOcC7jCOcyjnAu4wjnMo5wLuMI5zKOcC7jCOcyjnAu4wjnMo5wLuMIH02GIAg/RLtkWUb6xJYJ4CPXjB/inq/FfGp8NBmSJBGNRllZWWFpcZG9vd2P9ehjk/OAsGmaJJMJdnd32dnZYXVlBcViIRAIYHc48PmKP5lPJqdrrclkgmcTEzwZH2Nmepr9/T0EQURRFBTFQnl5Bd0XerjQ00tpWVmuinFsclIz4vE4uzvbzM/NMXL/HlOTkwiiSGtrK7V1dYTDEZ6Oj/Ho0UN2dnY4ODig+8IFSssC5Ofn/2pLCWdeMyLhMI8ePmTk3jALCy8QBIGq6mraOzppam7GW1REMpFkeeklU1OTLC2+ZHs7RJHPR//gJa5dHaKyuuosi3RszkxGKBRi+eVLnj+fYXpyiuBGEIss0dHZzdDn1+no6kJRfpofsL62xv17w9y9c5tXrzbxFftoa22nrb2d2rp6yisqPmp7ciYygmtrPHz0kDu3brG8vERBQQEX+/vp6u6mpraOoqIibLZfLjKbpsHe7h7rwXUmJyYYG3vM6vIKBZ4C+gcGGbr+BbW1db+QmCtOJWNp6SXPnj5lenKSjVdBkskUHo+H9o5OBi9dprml5dj32traYvTxQ0YfPya4toam6wQCAVpaW+m+0EtjcxOylNvOL2sZqqqSiMdZXllm/PEj7g0PE9raoryygitXh7jY309FRSVWqzXrhjCTSbMd2mbi6RNu3vyOhfl53G4XF/sH6B8YpKGhCZfblbOakpUM0zSZnpriwf37TEw8IRaNkpfnoq6+npa2VtraOiivqDh1ofZ2d5mZmWZmaoqFhReEtkIoikJrWxtXrl2js6s7J0KOJSMRj7OxscHiwgsmJp7yfGaWWCxKTW0dV65eZfDSZXzFv9zqflpi0Sjj42Pc+tt3zMxMI0kibe0ddHR10tzcQmlZAJfLdWbP+6CMZDLJs6dPuXPnNk/Gx9E0jYaGBi709NLU0kKgLECh13tmBfo50WiUjWCQ+fnnjI+N8WJ+Hk1TaWvvYOj6dXp6esnLOxsh75RxsL/P7MwMU1OTLMzPs7e/hwDUNTQwMDjIxb4B8vLyzqQQxyGjZng6Ps7I/fs8n5kmmUri9RbR2NREZ1c3zS0teDyFp3rGL2Sk0yl2d3aZfDbBne+/Z3pqEqvVysW+fgYvX6apuQW3243N9oFkvByQyWSIRMIsvnjB8N07jI6OkkwmaO/o5PJnV+i+0IPX68Vq/VBy3Nv5iYytrS0ePRxhfHSMYHANTPAV+2lqaaGzs4uWlhasv4KEn6OpKrOzM0w+m2R2ZorQdgg1o1JZWUVffz/9g4P4fNm3YYKmaWYsFiO4vs7Tp+M8fDBCcG2N/PzDgc/Va0M0NDVhsXww++6DGCZkdBNRAOU0mXWv0XWd+bnn3L3zPfeGh4mEw9TU1jIweInOrm7KAodzneMihA8OzEePHnD75k0WFxZwuV10dl2gvb2dmto6AoEA8hmISGommwmdvZSGIgmUOGR89tMPtTVNIxhcZ3FhkanJCWZnZtjf36O6uobffPP3XB36HFk+3mBNDofDPH74kIknT/D5/Xx25SqfX/+SqurqkxfQMFmJaqxGNbYSOpGMQVQ1iasGGd1AEAQcsoDLIuKyirgtIhUumYZ8C/nW7AZqsixTVVVNVVU1NbU1eL1e/vBv/8bI/WHKAgH6BgaP3dDLiXic4Po6eS4X3/7DP3JtaIhCb9FJHACHn8HUbobhVykmdjK8DKvspXUkQaDQJpJvFcnoJrspg3jGwCaLeG0iHV6F6wE7PcUKPrt8opz2ysoqPP9QyMH+Af/7d/+Tvd09UqnU8WVoukYqncbhcFBdU0PRCRqeN2wldO5uJLm5nmQtppNnEWgptKCICnmKSKFNxK2IqDrspXUOUjoJDeKqwWJYYzka5emuwt9XOel8ncGcDZIkUVBQQKC8HJvNjmEYGMbxk8NlQRSRZRlNVclkMlm+/iGqYbIZ17m5luSv6wlWoxo1bgtDATuXS6yUOmQcFgHpSG62aZpkdJPtpM5SROPuRopbwSQ3VpKkNUioBm1eBZfyviMj3k4mk0GWZGRZzirwLMOPUes3JrOdYL0Ma/yvhRjfB1MoElwP2Pk8YKe+wEJF3juqvCAgiwJVFhGvTaLILhHIk7m9nuRWMMl6XOXbaidXy2wU2rJraM3XaeLZRuBPPSdeiqj8ZSXB7WAS3YSvAw5+W+2gtfD4E6k8RaTdq1DrtlBkE/n9yzjPdjJoBjhlkStlNmxytvUj+8jEqWREMgY3VhJ8t57EY5X4otzG15UOKl0nu63DIjBUbsfvkPhvs1Fm9jLcCibxOaTXbU9u11pOLOMgbfBkO8XtYIq9tM5/qXXybY2T8rzTVbZ8RWSgxMZ+yiCjm4yG0uQrIn6HixJHbkOAJwpDmyY8389wYzXJQcakr9jKtYDt1CKOcrnUxjeVDjQDRjZTLIVVNCO3GWQnkhFRDR6H0jzYTFPmkPin2jyaPWcbbHFbRTqKFKrdMknN5Pl+hlcJ/UzTvX9O1jI0w2QzrrEcUUnrJm1ehcESK07L2a91eO0SnV4Fn11iKXI4oj2rI2XeRtZvENdMVmMaqg41bpkat4z1DCZdb8MhC9TmWyiyi+ykdDYTOkYOP5XsZagGwZiOYUKN20JxDhs1RRQI5El4rCJ7aYPtpP6J1QzVZCOukzZMih2HBc0Viijgt0s4ZZHdpEEooaN9Sm1GQjXZiGukdZMSu0ShNXc1QxAO2w2nRWD79WeSzqGNrPvClG6ynzIwMSmwirgsuR0I2SQBqywQU03CGSOn3WvWNcMEDNPE5PCYuY+6ASfHmepZy7BKAgVWEVmAcMYkrua2gGndJK2bOGWBfKt4JuHCd5G1DKcsEMiTUSSBzYTGXurDB1CdFNOEvZROXDXx2iSKHYcnO+aKrGU4LAJlTgmrJLCd1NlP566zUw2TUNIgrpoU2UWK7RJZT16zIGsZeRaRMqeMKMBKVCWUzF3NSBsmwZhGOKNTaJXw2aWc7sg7gQyBSpeMLMBiRGM5qqHlqHKkNJOliMpu0qDIJuK3S4g5bLGzliGLAqVOmUq3jIDA9G6GsVCaZA76//20zuRuhlBSp9olU+WST3Wq44c4Ua3LV0QuFtvo8VlZj+n8finOwsEpDu99C0nNYGZPZTGsIovQ5LFQlifltCs/UQBCFKCt0EK8yk4wpnHvVYrKPBm/QzqzucqjrTQ3Vg9PO7tYbKM234Ilx5GuE7dHXpvEYImVK2U2HLLA8KsUN1YTrMc09FMMjmKqweROhn99GWd6V6WrSOE3lQ68Z7D69iFOFZryWCW+qbKT1ExurCX4H3MxwmmDb6oc1BdkvySZ1k2GN1L8aTnB4600NW6ZoYCdNq+CLYfjizecOk7X7FH4bfVh9OvRZppbwRQ7KZ2eYitVLguVLvm9M9uMbvIqobMe03i+pzKymWIhrFKfL/NtjYM+v5W8HM9/3iDDm3WGN2kQ2X85TR4L/7XFRZ3bwu1gkn9fTXJ/M0WPz8bn5TY6vVb8dvEni0hgEs0YvAhrjIbSjGymmNtTscsil0ptfFVup9un4DnBrPikGQuyaRjor8+/sdlsJ2qtrZJAQ4EFl0XEbRUYeZVmPaayHFH53YLOX1aS2CWwSIerY4cnW5qktEMhcc0go0Ojx0JH4WFwudunnLjBVBQF3dDRNJVsNjPKkiihKAoHB/usr69RU1tLfn7BieyWOCX+c42Tz0pszO5lGN/JMBpKMxZKE1MNJFFAFA73aQBIgM8h0upRGKywHX5aeRbslpMdjGyaJvF4nK3NV6RSSQRByGp1ULY7nPhL/CwtL/HnP/2RZCLBtaHrlJSWZl8aDmtJIE+mwCpS6pRpKrCwHtOIqQZv/v7Im38sRQKvTaQyz0JDgYXAKZcaXm1s8GDkHne+v00ymcSdn5/VliY5vyCf3ov9hCNR1tdWuX3rFtFIjLaOdqqqqvGXlJxol7/TItLmVWjzvllC+PGszsOV0DexkNM1joZhsLW5ycryEpOTk4dngWVUei/209bWntXeM0HVNDMSPmB5aZkn46M8fviI7e1tiv0+Ll3+jCtXr1FTV38mx9/ngqWXi9y98z3Dd+6ysxOiLFDOxYt9dF3ooaq6Go/Hc+xP/icb3FZXVxi5d58n42OEQptYFRuB8gDNra20t3dQ39B47C1BucQwTBZfzDM9M8X01BTBtTVisTilZaX09Q9w6fJnBMrLs77vT2SYpkkikSAU2mLiyROG79xh/sUcLrebS5cuM3jpMg2NjTgczjPZ8JYtuq4Ti8VYXnrJ/eFhHoyMcHCwT2NTE4OXLtPT20uxvwSHw3GiDuCdm2K3QyGmJp8xOfmMly8XicfiWK0KTc0t9PUPcKGnB6v1422DNE2TqclJHjy4z9SzZ4T3D3C53dTV19HZfYH29g6K/f5TPeOD26XD4QPGx8cY/v4Ok88mkCSJltZWevv6aGxsxl9SgtvtPlUh3kcymWBrc4vFhQXGx8eYmZ4iGonQ2NTE0NB1+gYGzmy79rE20kciYdbX1nj+/DmTE09ZXFhE01Sampu5cu0afX0DuLPYb3lc0ukUkxMT3Lz5Hc8mnqJpOo2NjbS1d9Da1kZ5eQWewtNtkT5KVikWGTXDxJMnjNy7x9TUJJlMGm+hl8amFlraWmlqbsF/yqoKEI1EmJ+bY3Zmmrm5OdbWV8E0aWxs5urQED29F3E63/73s05D1sk36XSaaCTC4sICo48f8mBkhHA4TF19/eEu/94+SktLT9TA6rrO/v4eU8+ecfO775ienkKxWOjqvsDA4CBNzS14Cgtzdo7oidOyTMNkbm6WJ2NjTE9Ps7MdwjBN/H4/HZ1d9A8MUl1Tc+z7hQ/2GR8bZ3T0EUsvF0nEExQVF9Pc3EJPby9tbe0537d+6oQ9XddYWlri4f373L37Pa82NvD7Sxi4dImu7h4qqyrxeArfWVPC4TChrU2mpyZ59PAR8/PPsVlt9PRe5PqXX9LY1JyTT+JtnFkqZ3B9nYUX88zOTDM7O8POzg6uPBcXenu5OvQ5LS2tv+j7t0MhHoyMcPfObVZXV3G7XDQ0NtLa2kZDUxNV1TUnTpc4CWee5BsKbfHg/n1G7t9jbWUVq91GXX39DyPYoqIikqkka6urTE9OMj83RzAYJN+TT19fP9eGPqexqfksi3RscpILHz44YGtri9mZaR48GGFu7jlOu53OrgvUNzRwcLDP+OgowfV1SsvKuNDTy4WLvVRWVOHxeM4ki+Ek5PRggHA4zJPxMcbHxlheekkqmQTAMA/PES4tKaHrQg+9F/uyamxzRc5PpNd1nWg0wtTkJCP3hpmfn8Ptyqf/0iD9/QOUBco/arvwPj7a8fzxeIyll0uEtjax2e1U19RQVhb4GI8+Nud/q+AI56cxHeFcxhHOZRzhXMYRzmUc4VzGEc5lHOH/AqraNvuG8AQqAAAAAElFTkSuQmCC)
ii) 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)
iii) 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)
iv) 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)
chemistry-General
maths-
Number of rectangles in fig. shown which are not squares is
![](data:image/png;base64,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)
Number of rectangles in fig. shown which are not squares is
![](data:image/png;base64,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)
maths-General
maths-
Digit at unit place of sum (1!)2 +(2!)2 +(3!)2 ……… +(2008!)2 is
Digit at unit place of sum (1!)2 +(2!)2 +(3!)2 ……… +(2008!)2 is
maths-General
maths-
A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least 4 of them are in wrong envelopes ?
A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least 4 of them are in wrong envelopes ?
maths-General
maths-
The total numbers of integral solutions for (x,y,z) such that xyz = 24 is
The total numbers of integral solutions for (x,y,z) such that xyz = 24 is
maths-General
maths-
Number of ways in which 5 different toys can be distributed among 5 children if exactly one child do not get any toy
Number of ways in which 5 different toys can be distributed among 5 children if exactly one child do not get any toy
maths-General
maths-
A seven digit number is in form of abcdefg (g, f, e, etc. are digits at units, tens, hundred place etc.) where a < b < c < d > e > f > g. The number of such numbers are
A seven digit number is in form of abcdefg (g, f, e, etc. are digits at units, tens, hundred place etc.) where a < b < c < d > e > f > g. The number of such numbers are
maths-General