The eccentricity of the curve represented by the equation x² + 2y² – 2x + 3y + 2 = 0 is

The foci of the ellipse 25 (x + 1)² + 9 (y + 2)² = 225 are

The eccentricity of the ellipse 9x² + 5y² – 30y = 0 is

The sum of all possible numbers greater than 10,000 formed by using {1,3,5,7,9} is

Number of different permutations of the word 'BANANA' is

In this question, one might think that the total number of permutations for the word BANANA is 6!
This is wrong because in the word BANANA we have the letter A repeated thrice and the letter N repeated twice.

The number of one - one functions that can be defined from into is

Four dice are rolled then the number of possible out comes is

The number of ways in which 5 different coloured flowers be strung in the form of a garland is :

Number of ways to rearrange the letters of the word CHEESE is

The number of ways in which 17 billiard balls be arranged in a row if 7 of them are black, 6 are red, 4 are white is

We cannot arrange the billiards balls as follows:
There are 17 balls, so the total number of arrangements = 17!
This is incorrect because this method is applicable only when the balls are distinct, not identical. But, in our case, all the balls of the same color are identical.

Number of permutations that can be made using all the letters of the word MATRIX is

The number of different signals that can be made by 5 flags from 8 flags of different colours is :

Each of the different arrangements which can be made by taking some or all of a number of things at a time is called permutation. The number of permutation without any repetition states that arranging n objects taken r at a time is equivalent to filling r places out of n things =n(n−1)(n−2)......(n−r−1) ways = 


Thus we can say that the permutation concerns both the selection and the arrangement of the selected things in all possible ways.

If then A-B=

, then

If then K=

If the remainders of the polynomial when divided by and are 7,3 then the remainder of when devided by is