Turito Academy

Test Prep

Global form fields

The accompanying diagram shows the three stages in the cardiac cycle. <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486373/1/926259/Picture65.png" alt="" width="245" height="98" /> Which of the following is the correct sequence?

Solution for the question - the accompanying diagram shows the three stages in the cardiac cycle. whichof the following is the correct sequence? c, b, a

The accompanying diagram shows the three stages in the cardiac -Turito

PSAT

One-On-One Tutoring

Your gateway to the top global universities

Coding

Discover traits & skills, get a clear pathway to academic success.

Discovery Program

No, of letters in the word FLOWER =6 No. of permutations that can be made using all the letters of the word FLOWER = <img src="data:image/png;base64,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" class="Wirisformula" alt="P presuperscript 6 subscript 6 equals fraction numerator 6 factorial over denominator left parenthesis 6 minus 6 right parenthesis factorial end fraction equals fraction numerator 6 factorial over denominator 0 factorial end fraction equals 720 over 1 equals 720" width="245" height="37" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mmultiscripts»«mi»P«/mi»«mn»6«/mn»«none/»«mprescripts/»«none/»«mn»6«/mn»«/mmultiscripts»«mo»=«/mo»«mfrac»«mrow»«mn»6«/mn»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mn»6«/mn»«mo»-«/mo»«mn»6«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»6«/mn»«mo»!«/mo»«/mrow»«mrow»«mn»0«/mn»«mo»!«/mo»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mn»720«/mn»«mn»1«/mn»«/mfrac»«mo»=«/mo»«mn»720«/mn»«/math»'/>

No. of permutations that can be made using all the letters of the word FLOWER is :

Solution for the question - no. of permutations that can be made using all the letters of the wordflower is : 120240720480

No. of permutations that can be made using all the letters of t-Turito

As we have to fill 8 places from 12 balls numbered 1 to 12. So, the number of ways = <img src="data:image/png;base64,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" class="Wirisformula" alt="P presuperscript 12 subscript 8" width="34" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mmultiscripts»«mi»P«/mi»«mn»8«/mn»«none/»«mprescripts/»«none/»«mn»12«/mn»«/mmultiscripts»«/math»'/>

There are 12 balls numbered from 1 to 12 The number of ways in which they can be used to fill 8 places in a row is:

Solution for the question - there are 12 balls numbered from 1 to 12 the number of ways in which theycan be used to fill 8 places in a row is: 2xx^(12)c_(b) '/>

There are 12 balls numbered from 1 to 12 the number of ways in -Turito

Given, <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis n plus 1 right parenthesis P subscript 5 colon to the power of n P subscript 5 equals 3 colon 2" width="141" height="19" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«msub»«mi»P«/mi»«mn»5«/mn»«/msub»«msup»«mo»:«/mo»«mi»n«/mi»«/msup»«msub»«mi»P«/mi»«mn»5«/mn»«/msub»«mo»=«/mo»«mn»3«/mn»«mo»:«/mo»«mn»2«/mn»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="rightwards double arrow fraction numerator begin display style fraction numerator left parenthesis n plus 1 right parenthesis factorial over denominator left parenthesis n plus 1 minus 5 right parenthesis factorial end fraction end style over denominator begin display style fraction numerator n factorial over denominator left parenthesis n minus 5 right parenthesis factorial end fraction end style end fraction equals 3 over 2
rightwards double arrow fraction numerator left parenthesis n plus 1 right parenthesis factorial over denominator left parenthesis n minus 4 right parenthesis factorial end fraction cross times fraction numerator left parenthesis n minus 5 right parenthesis factorial over denominator n factorial end fraction equals 3 over 2
rightwards double arrow fraction numerator left parenthesis n plus 1 right parenthesis n factorial over denominator left parenthesis n minus 4 right parenthesis left parenthesis n minus 5 right parenthesis factorial end fraction cross times fraction numerator left parenthesis n minus 5 right parenthesis factorial over denominator n factorial end fraction equals 3 over 2
rightwards double arrow fraction numerator n plus 1 over denominator n minus 4 end fraction equals 3 over 2
rightwards double arrow 2 left parenthesis n plus 1 right parenthesis equals 3 left parenthesis n minus 4 right parenthesis
rightwards double arrow 2 n plus 2 equals 3 n minus 12
rightwards double arrow n equals 14
" width="242" height="296" style="vertical-align:-136px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8658;«/mo»«mfrac»«mstyle displaystyle=¨true¨»«mfrac»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«mo»-«/mo»«mn»5«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«/mfrac»«/mstyle»«mstyle displaystyle=¨true¨»«mfrac»«mrow»«mi»n«/mi»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»5«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«/mfrac»«/mstyle»«/mfrac»«mo»=«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfrac»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»4«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«/mfrac»«mo»§#215;«/mo»«mfrac»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»5«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«mrow»«mi»n«/mi»«mo»!«/mo»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfrac»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«mi»n«/mi»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»4«/mn»«mo»)«/mo»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»5«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«/mfrac»«mo»§#215;«/mo»«mfrac»«mrow»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»5«/mn»«mo»)«/mo»«mo»!«/mo»«/mrow»«mrow»«mi»n«/mi»«mo»!«/mo»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfrac»«mrow»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mn»2«/mn»«mo»(«/mo»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«mo»=«/mo»«mn»3«/mn»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»4«/mn»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mn»2«/mn»«mi»n«/mi»«mo»+«/mo»«mn»2«/mn»«mo»=«/mo»«mn»3«/mn»«mi»n«/mi»«mo»-«/mo»«mn»12«/mn»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mi»n«/mi»«mo»=«/mo»«mn»14«/mn»«mspace linebreak=¨newline¨/»«/math»'/>

If  <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI0AAAATCAYAAACtMo6WAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAvVJREFUeNrtWjFrFEEUHo6wBJGAHBIkhRBEJEU4sAhBgghiEYKIYHGIBAkECSFYCFaSwuZIJbYiIpImhJBCQiDIIUcIBxYiFpLGf2ARJBxysHmPfMHLMHM7szO7s5r94Ctmbubem31vdr43d0KcxgKxIYqLBnwMgR/EGeIX4h/ic1FCjBP3/gE/d+FrnqgQu8QPxBFijfirTJnjYNQK4MdV4gviV83n14mtPvM7xBj8TVwj3nL0aQJvmBPcIH7K0b4N2NYW8RC+7BNfEauG83lt68QDvFE5Dg9VA2tImiKAd/M8HroOLSSPjCtSskXE28SfxDEHn+rE91L7XY72bdAk3oft3vhuG87/jPWdR3sMuVGXB64QFzNaRJzBvCWN9rpHXFX0zxGfOazhNfGJ1J7L0b4PHDjMvUz8JndyFk4pBi9jscPYWYc4y5cCJ82k5nhY1gSnYbEpVHY3iNM97U2p7dN+FhiFkHeJTUeVhZFi4BoShBPmJgThCL7gXMCkiTQ7h/29K/VdxLledbDLG2WwT9un/V4/kpgE3uyPYX/aITaTKvnS1Qzeh75QPcRqwKQREGkqfy9Jonk3RyEa2r4u4Z46fBdvjjYEcmLSVKD+ZQzgmMpyh6RJmpOyOEZSc7BeSkHMoywPZV+FC9BZbZwUaebzUXxHJ5IiRZnZ1LyqmoE1jep4mrD0yzd82/e1+QQqoXYKHbSJilCJHcXrR1dW6vpDC2ETv1wevElZHtK+tZDtg2vEN0m6VVVy68pKXX+eSbMIn2W/5jPyxbQsD2m/H8aht0wwDEE/kDRQdbm3oVHcuv48k0Z1uWfiV5yhv77su4Iv5x4g6BWIcL5cnDX05yPeNEbYE6d/09GVlbr+LM9yIVUkrZR+xeLv1fis58D6su+KKQS+A7LOmrFYq5WGOis/WFaQeKyJHgXwP7R97+Cr8iL/NWLFQDeYgu+ZvgdcS2j7JVIgshCH/6P9EpYYIr7NUFcU3X4JS5HdhXarn0H7XnAE3sABpgETXOEAAAD8dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPig8L21vPjxtaT5uPC9taT48bW8+KzwvbW8+PG1uPjE8L21uPjxtbz4pPC9tbz48bXN1Yj48bWk+UDwvbWk+PG1uPjU8L21uPjwvbXN1Yj48bXN1cD48bW8+OjwvbW8+PG1pPm48L21pPjwvbXN1cD48bXN1Yj48bWk+UDwvbWk+PG1uPjU8L21uPjwvbXN1Yj48bW8+PTwvbW8+PG1uPjM8L21uPjxtbz46PC9tbz48bW4+MjwvbW4+PC9tYXRoPq8pwOcAAAAASUVORK5CYII=" class="Wirisformula" alt="left parenthesis n plus 1 right parenthesis P subscript 5 colon to the power of n P subscript 5 equals 3 colon 2" width="141" height="19" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»n«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«msub»«mi»P«/mi»«mn»5«/mn»«/msub»«msup»«mo»:«/mo»«mi»n«/mi»«/msup»«msub»«mi»P«/mi»«mn»5«/mn»«/msub»«mo»=«/mo»«mn»3«/mn»«mo»:«/mo»«mn»2«/mn»«/math»'/>then n is:

Solution for the question - if (n+1)p_(5):np_(5)=3:2 then n is: 610148

If (n+1)p_(5):np_(5)=3:2 then n is: -Turito

Given, <img src="data:image/png;base64,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" class="Wirisformula" alt="blank to the power of n P subscript 5 equals to the power of n P subscript 6" width="79" height="19" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mrow/»«mi»n«/mi»«/msup»«msub»«mi»P«/mi»«mn»5«/mn»«/msub»«msup»«mo»=«/mo»«mi»n«/mi»«/msup»«msub»«mi»P«/mi»«mn»6«/mn»«/msub»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="rightwards double arrow fraction numerator n factorial over denominator open parentheses n minus 5 close parentheses factorial end fraction equals fraction numerator n factorial over denominator open parentheses n minus 6 close parentheses factorial end fraction
rightwards double arrow open parentheses n minus 6 close parentheses factorial equals open parentheses n minus 5 close parentheses factorial
rightwards double arrow open parentheses n minus 6 close parentheses factorial equals open parentheses n minus 5 close parentheses open parentheses n minus 6 close parentheses factorial
rightwards double arrow n minus 5 equals 1
rightwards double arrow n equals 1 plus 5
rightwards double arrow n equals 6" width="191" height="155" style="vertical-align:-78px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8658;«/mo»«mfrac»«mrow»«mi»n«/mi»«mo»!«/mo»«/mrow»«mrow»«mfenced»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mo»!«/mo»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»n«/mi»«mo»!«/mo»«/mrow»«mrow»«mfenced»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»!«/mo»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfenced»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»!«/mo»«mo»=«/mo»«mfenced»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mo»!«/mo»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfenced»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»!«/mo»«mo»=«/mo»«mfenced»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»n«/mi»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»!«/mo»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mi»n«/mi»«mo»-«/mo»«mn»5«/mn»«mo»=«/mo»«mn»1«/mn»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mi»n«/mi»«mo»=«/mo»«mn»1«/mn»«mo»+«/mo»«mn»5«/mn»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mi»n«/mi»«mo»=«/mo»«mn»6«/mn»«/math»'/>

If <img src="data:image/png;base64,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" class="Wirisformula" alt="blank to the power of n P subscript 5 equals to the power of n P subscript 6" width="79" height="19" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mrow/»«mi»n«/mi»«/msup»«msub»«mi»P«/mi»«mn»5«/mn»«/msub»«msup»«mo»=«/mo»«mi»n«/mi»«/msup»«msub»«mi»P«/mi»«mn»6«/mn»«/msub»«/math»'/>  then n is :

Solution for the question - if np_(5)=np_(6) then n is : 106715

If np_(5)=np_(6) then n is :  -Turito

Given, <img src="data:image/png;base64,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" class="Wirisformula" alt="blank to the power of 10 P subscript r equals 5040" width="99" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mrow/»«mn»10«/mn»«/msup»«msub»«mi»P«/mi»«mi»r«/mi»«/msub»«mo»=«/mo»«mn»5040«/mn»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="rightwards double arrow fraction numerator 10 factorial over denominator left parenthesis 10 minus r right parenthesis factorial end fraction equals 5040
rightwards double arrow fraction numerator 10 cross times 9 cross times 8 cross times 7 cross times 6 cross times 5 cross times 4 cross times 3 cross times 2 cross times 1 over denominator left parenthesis 10 minus r right parenthesis factorial end fraction equals 5040
rightwards double arrow fraction numerator 6 cross times 5 cross times 4 cross times 3 cross times 2 cross times 1 over denominator open parentheses 10 minus r close parentheses factorial end fraction equals 1
rightwards double arrow 6 factorial equals open parentheses 10 minus r close parentheses factorial
rightwards double arrow open parentheses 10 minus 4 close parentheses factorial equals open parentheses 10 minus r close parentheses factorial
rightwards double arrow r equals 4" width="348" height="201" style="vertical-align:-101px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8658;«/mo»«mfrac»«mrow»«mn»10«/mn»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mn»10«/mn»«mo»-«/mo»«mi»r«/mi»«mo»)«/mo»«mo»!«/mo»«/mrow»«/mfrac»«mo»=«/mo»«mn»5040«/mn»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfrac»«mrow»«mn»10«/mn»«mo»§#215;«/mo»«mn»9«/mn»«mo»§#215;«/mo»«mn»8«/mn»«mo»§#215;«/mo»«mn»7«/mn»«mo»§#215;«/mo»«mn»6«/mn»«mo»§#215;«/mo»«mn»5«/mn»«mo»§#215;«/mo»«mn»4«/mn»«mo»§#215;«/mo»«mn»3«/mn»«mo»§#215;«/mo»«mn»2«/mn»«mo»§#215;«/mo»«mn»1«/mn»«/mrow»«mrow»«mo»(«/mo»«mn»10«/mn»«mo»-«/mo»«mi»r«/mi»«mo»)«/mo»«mo»!«/mo»«/mrow»«/mfrac»«mo»=«/mo»«mn»5040«/mn»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfrac»«mrow»«mn»6«/mn»«mo»§#215;«/mo»«mn»5«/mn»«mo»§#215;«/mo»«mn»4«/mn»«mo»§#215;«/mo»«mn»3«/mn»«mo»§#215;«/mo»«mn»2«/mn»«mo»§#215;«/mo»«mn»1«/mn»«/mrow»«mrow»«mfenced»«mrow»«mn»10«/mn»«mo»-«/mo»«mi»r«/mi»«/mrow»«/mfenced»«mo»!«/mo»«/mrow»«/mfrac»«mo»=«/mo»«mn»1«/mn»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mn»6«/mn»«mo»!«/mo»«mo»=«/mo»«mfenced»«mrow»«mn»10«/mn»«mo»-«/mo»«mi»r«/mi»«/mrow»«/mfenced»«mo»!«/mo»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfenced»«mrow»«mn»10«/mn»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfenced»«mo»!«/mo»«mo»=«/mo»«mfenced»«mrow»«mn»10«/mn»«mo»-«/mo»«mi»r«/mi»«/mrow»«/mfenced»«mo»!«/mo»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mi»r«/mi»«mo»=«/mo»«mn»4«/mn»«/math»'/>

If <img src="data:image/png;base64,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" class="Wirisformula" alt="blank to the power of 10 P subscript r equals 5040" width="99" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mrow/»«mn»10«/mn»«/msup»«msub»«mi»P«/mi»«mi»r«/mi»«/msub»«mo»=«/mo»«mn»5040«/mn»«/math»'/> then r is :

Solution for the question - if ^(10)p_(r)=5040 then r is : 5894

If ^(10)p_(r)=5040 then r is : -Turito

Solution for the question - in the figure given below, which blood vessel represents vena cava? bad

In the figure given below, which blood vessel represents vena c-Turito

Match the types of WBC listed under Column - I with the shape of nucleus given under Column - II and select the correct option from codes given below. <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486397/1/926187/Picture56.png" alt="" width="375" height="103" />

Solution for the question - match the types of wbc listed under column - i with the shape of nucleusgiven under column - ii and select the correct option from c

Match the types of wbc listed under column - i with the shape o-Turito

Total number of ways of putting 4 letters in 4 envelopes = 4! =24 Now, number of ways of putting only 1 letter in the right envelope= <img src="data:image/png;base64,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" class="Wirisformula" alt="blank to the power of 4 C subscript 1 cross times 2" width="65" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«maction actiontype=¨argument¨»«mrow/»«/maction»«mn»4«/mn»«/msup»«msub»«mi»C«/mi»«mn»1«/mn»«/msub»«mo»§#215;«/mo»«mn»2«/mn»«/math»'/> =8 number of ways of putting only 2 letters in the right envelopes =<img src="data:image/png;base64,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" class="Wirisformula" alt="blank to the power of 4 C subscript 2" width="38" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«maction actiontype=¨argument¨»«mrow/»«/maction»«mn»4«/mn»«/msup»«msub»«mi»C«/mi»«mn»2«/mn»«/msub»«/math»'/>=6 number of ways of putting 3 letters in the right envelope= 0, as when we will put three letters in the right envelope the last will automatically go in the right place. number of ways of putting 4 letters in the right envelope= 1 So, the number of ways in which four letters can put in four addressed envelopes so that no letter goes into the envelope meant for it =24-(8+6+0+1)=24-15=9

The number of ways in which four letters can put in four addressed envelopes so that no letter goes into the envelope meant for it is :

Solution for the question - the number of ways in which four letters can put in four addressedenvelopes so that no letter goes into the envelope meant for it is

The number of ways in which four letters can put in four addres-Turito

Solution for the question - in the given figure of the heart which of the labelled part (1, 2, 3, 4, 5)carries oxygenated blood? 3 and 5

In the given figure of the heart which of the labelled part (1,-Turito

Solution for the question - the given figure shows an angiogram of the coronary blood vessel. which oneof the following statements correctly describes, what is

The given figure shows an angiogram of the coronary blood vesse-Turito

Total number ways in which 3 letters can be put in 3 different envelopes= 3! = 6 now, numbers of ways when only 1 letter is put in the right envelope = <img src="data:image/png;base64,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" class="Wirisformula" alt="blank cubed C subscript 1" width="38" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«maction actiontype=¨argument¨»«mrow/»«/maction»«mn»3«/mn»«/msup»«msub»«mi»C«/mi»«mn»1«/mn»«/msub»«/math»'/>=3 number of ways when 2 letters are put in the right envelope = 0 as when we put 2 letters in the right envelope the third letter would be automatically in the right envelope number of ways when 3 letters are put in the right envelope = 1 So, the no. of ways when no letter will be in the right envelope=6-(3+0+1) =6-4 =2

There are 3 letters and 3 addressed envelopes corresponding to them. The number of ways in which the letters be placed in the envelopes so that no letter is in the right envelope is:

Solution for the question - there are 3 letters and 3 addressed envelopes corresponding to them. thenumber of ways in which the letters be placed in the envelop

There are 3 letters and 3 addressed envelopes corresponding to -Turito

Match Column - I with Column - II and select the correct option from the codes give below. <img src="data:image/png;base64,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" alt="" />

Solution for the question - match column - i with column - ii and select the correct option from thecodes give below. (a) vec(r) (i), (b) vec(r) (ii), (c) vec(r) (iii), (d) vec(r) (iv)

Match column - i with column - ii and select the correct option-Turito

The number of numbers having 3 in the unit place= 4! =24 The number of numbers having 4 in the unit place= 4! =24 The number of numbers having 5 in the unit place= 4! =24 The number of numbers having 6 in the unit place= 4! =24 The number of numbers having 7 in the unit place= 4! =24 So the sum of the digits in the unit place of all the numbers=<img src="data:image/png;base64,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" class="Wirisformula" alt="3 cross times 24 plus 4 cross times 24 plus 5 cross times 24 plus 6 cross times 24 plus 7 cross times 24" width="303" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«mo»§#215;«/mo»«mn»24«/mn»«mo»+«/mo»«mn»4«/mn»«mo»§#215;«/mo»«mn»24«/mn»«mo»+«/mo»«mn»5«/mn»«mo»§#215;«/mo»«mn»24«/mn»«mo»+«/mo»«mn»6«/mn»«mo»§#215;«/mo»«mn»24«/mn»«mo»+«/mo»«mn»7«/mn»«mo»§#215;«/mo»«mn»24«/mn»«/math»'/> =24(3+4+5+6+7) =24<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAKCAYAAABSfLWiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAC1JREFUeNpjYMAE1VDMQKIcUYpJMgCbJrIMQDZoNyUGUMUQir1DccBSLYrpDwAMJw7rHduE6QAAAE50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4RDc7PC9tbz48L21hdGg+HjBxXgAAAABJRU5ErkJggg==" class="Wirisformula" alt="cross times" width="17" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#215;«/mo»«/math»'/>25=600 Similarly the sum of the digits of all the numbers in each of the other places=600 The required sum =<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcUAAAANCAYAAADYDXXpAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAoxJREFUeNrtm8ErRFEUxm/SZCFlYSF7ycpGFpKUJMlCSZqlsrCyl/9BFmqSLOwkCwsbSbJSkqxkb2FjIWmSGt9trhrP9ea867zXdH2nvsXcOT3n+323xp33xpjvNQwdQC9QFTqGxhM9XdA2dOVUcWsmsE+r+qEN6DalR3v2VmXBHJlPTPmQuy538pTxNCvOVH/DkGXoMtF3Bs01vJ51ayawT6v2nYdaSo/27K3Igjkyn9jyIXdd7uQp4DkIXQsutABtedY3oaWAvjyqVtDsRbKoCfuYI/OJLR9y1+VOnkLPFeEfP4SmPOsT7r2sfY217pT1PalJ7dnzZBG6WZkj84ktH3LX5U6eQs/3UK/gAs9QybNu154C+iRmshhMM6k9e94sQjYrc2Q+seVD7rrcyVPo2d4ktd8NH0Fv0Ls7HpcTfR8pF38P6GtmNKvBNJPasxfBIutmZY7MJ7Z8yF2XO3kKPds3bqAZqB1qg0ahB2hVOHw1oC/N6GmAwdBNU22BvqSHZmKOzOc/5EPuutzJU/ihaB+p7fOsD0GPDa+ffjnmdiSOudK+Ik1qz14Uiyz/wTFH5hNbPuSuy508hZ5P3Kd9s+Orvek57emZMj9vnEr6ijwOa89eBIusm5U5Mp/Y8iF3Xe7kKfRsj7yLnvUBU/8h5VfNQzuevj3z/WkkaV+aQRNo9DeT2rPnzSJkszJH5hNbPuSuy508hZ7t0fUCWjb174htjUB30GSi9xxac30lN8CF55rSPokZlUdsc5g9Lxahm5U5Mp8Y8yF3Xe7kKfTc4z6tX039xqcdaMzT1w3tmvoNUPvkkf3NSucf+rRKcpNYe/ZWZMEcmU9s+ZC7LnfylD9UxGKxWCzW/61PjiF7PCoHWHYAAAEqdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjYwMDwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjEwMDAwPC9tbj48bW8+KzwvbW8+PG1uPjYwMDwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjEwMDA8L21uPjxtbz4rPC9tbz48bW4+NjAwPC9tbj48bW8+JiN4RDc7PC9tbz48bW4+MTAwPC9tbj48bW8+KzwvbW8+PG1uPjYwMDwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjEwPC9tbj48bW8+KzwvbW8+PG1uPjYwMDwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjE8L21uPjwvbWF0aD4dcsLEAAAAAElFTkSuQmCC" class="Wirisformula" alt="600 cross times 10000 plus 600 cross times 1000 plus 600 cross times 100 plus 600 cross times 10 plus 600 cross times 1" width="453" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»600«/mn»«mo»§#215;«/mo»«mn»10000«/mn»«mo»+«/mo»«mn»600«/mn»«mo»§#215;«/mo»«mn»1000«/mn»«mo»+«/mo»«mn»600«/mn»«mo»§#215;«/mo»«mn»100«/mn»«mo»+«/mo»«mn»600«/mn»«mo»§#215;«/mo»«mn»10«/mn»«mo»+«/mo»«mn»600«/mn»«mo»§#215;«/mo»«mn»1«/mn»«/math»'/> =600(10000+1000+100+10+1) =600(11111) =6666600

The sum of all the numbers formed by taking all the digits from 3,4,5,6,7 is:

Solution for the question - the sum of all the numbers formed by taking all the digits from 3,4,5,6,7is: 666560066566005666666006666600

The sum of all the numbers formed by taking all the digits from-Turito

The number of numbers having 2 in the unit place= 3! =6 The number of numbers having 3 in the unit place= 3! =6 The number of numbers having 4 in the unit place= 3! =6 The number of numbers having 5 in the unit place= 3! =6 So the sum of the digits in the unit place of all the numbers=<img src="data:image/png;base64,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" class="Wirisformula" alt="2 cross times 6 plus 3 cross times 6 plus 4 cross times 6 plus 5 cross times 6" width="199" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mo»§#215;«/mo»«mn»6«/mn»«mo»+«/mo»«mn»3«/mn»«mo»§#215;«/mo»«mn»6«/mn»«mo»+«/mo»«mn»4«/mn»«mo»§#215;«/mo»«mn»6«/mn»«mo»+«/mo»«mn»5«/mn»«mo»§#215;«/mo»«mn»6«/mn»«/math»'/> =12+18+24+30 =84 Similarly the sum of the digits of all the numbers in each of the other places=84 The required sum =<img src="data:image/png;base64,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" class="Wirisformula" alt="84 cross times 1000 plus 84 cross times 100 plus 84 cross times 10 plus 84" width="272" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»84«/mn»«mo»§#215;«/mo»«mn»1000«/mn»«mo»+«/mo»«mn»84«/mn»«mo»§#215;«/mo»«mn»100«/mn»«mo»+«/mo»«mn»84«/mn»«mo»§#215;«/mo»«mn»10«/mn»«mo»+«/mo»«mn»84«/mn»«/math»'/> =84(1000+100+10+1) =84<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAANCAYAAAAT88Y+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAFpJREFUeNpjYKA+UAPiWiC+MEjVUQUsBuI0IP4/SNVRFfwfzOqqoZhUuSHlSVyeIcWDQ8KT6J4i1YNDxpMwz+0mw4OjnhxNrqMFz2gVQnaeJLcRgI4Hk7rhCQBZLFSfmULNzAAAAFt0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4RDc7PC9tbz48bW4+MTExMTwvbW4+PC9tYXRoPk3mGW8AAAAASUVORK5CYII=" class="Wirisformula" alt="cross times 1111" width="57" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#215;«/mo»«mn»1111«/mn»«/math»'/> =93324

The sum of all the numbers formed by taking all the digits from 2,3,4,5 is:

Solution for the question - the sum of all the numbers formed by taking all the digits from 2,3,4,5 is: 1036800093324933256660000

The number of constant mappings from <img src="data:image/png;base64,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" class="Wirisformula" alt="A equals left curly bracket 1 comma 2 comma 3 comma 4 horizontal ellipsis horizontal ellipsis comma n right curly bracket" width="134" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»=«/mo»«mo»{«/mo»«mn»1«/mn»«mo»,«/mo»«mn»2«/mn»«mo»,«/mo»«mn»3«/mn»«mo»,«/mo»«mn»4«/mn»«mo»§#8230;«/mo»«mo»§#8230;«/mo»«mo»,«/mo»«mi»n«/mi»«mo»}«/mo»«/math»'/> to <img src="data:image/png;base64,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" class="Wirisformula" alt="B equals left curly bracket a comma b right curly bracket" width="63" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«mo»=«/mo»«mo»{«/mo»«mi»a«/mi»«mo»,«/mo»«mi»b«/mi»«mo»}«/mo»«/math»'/> is 2.

The number of constant mappings from <img src="data:image/png;base64,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" class="Wirisformula" alt="A equals left curly bracket 1 comma 2 comma 3 comma 4 horizontal ellipsis horizontal ellipsis comma n right curly bracket" width="134" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»=«/mo»«mo»{«/mo»«mn»1«/mn»«mo»,«/mo»«mn»2«/mn»«mo»,«/mo»«mn»3«/mn»«mo»,«/mo»«mn»4«/mn»«mo»§#8230;«/mo»«mo»§#8230;«/mo»«mo»,«/mo»«mi»n«/mi»«mo»}«/mo»«/math»'/> to <img src="data:image/png;base64,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" class="Wirisformula" alt="B equals left curly bracket a comma b right curly bracket" width="63" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«mo»=«/mo»«mo»{«/mo»«mi»a«/mi»«mo»,«/mo»«mi»b«/mi»«mo»}«/mo»«/math»'/> is

Solution for the question - the number of constant mappings from a={1,2,3,4dots dots,n] tob={a,b] is 2^(n) '/>2nn! '/>