`(x^n-a^n)` is divisible by `(x-a)` for all values of n (b) only for even values of n (c) only for odd values of n (d) only for prime values of n

If 44! is divisible by 3^(n) then maximum value of n

The value of C(n+1,n) is

If n! - n = n , then the value of n is :

If n! - n = n , then the value of n is :

For all values of n . N ( n+1) (n+5) will be divisible by

Consider the following statements: For any positive integer n, the number 10^n-1 is divisible by 9 for n = odd only (2) 9 for n = even only 11 for n = odd only (4) 11 for n = even only Which of the above statements are correct? 1 and 3 (b) 2 and 3 (c) 1 and 4 (d) 2 and 4

If 10^n + 3.4^n + K is divisible by 9 for all n in N then the least value of K is

For all values of n, ( n^(3) - n) (n+2) will be exactly divisible by?

Number of values of n in N for which n^(4)+4 is prime is