The coefficient of x^-7 in the expansion of  will be

The number of permutations of the letters of the word 'CONSEQUENCE' in which all the three E's are together is

The number of positive odd divisors of 216 is

How many 10 digit numbers can be written by suing digits 9 and 2

The ninth term of the expansion is

The number of ways of distributing 8 identical balls in 3 distinct boxes, so that move of the boxes is empty, is

How many words can be formed from the letters of the word DOGMATIC, if all the vowels remain together?

From 12 books, the difference between number of ways a selection of 5 books when one specified book is always excluded and one specified book is always included, is

The coefficient of x in the expansion of (1+x)(1+2x)(1+3x)...(1+100x) is

The total number of terms in the expansion of (x+y)¹⁰⁰ + (x-y)¹⁰⁰ after simplification is