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

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

The number of different permutations of the word 'BANANA' is

The sum of the digits in the unit place of all numbers formed with the help of 3,4,5,6 taken all at a time is

2³ⁿ - 7n - 1 is divisible by

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

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

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

The sum of the rational terms in the expansion of is

If the r^th term in the expansion of contains x⁴ , then r is equal to