Exponent of a prime number in n!

Exponent of any number in n!

Statement-1: The number 1000C_(500) is not divisible by 11. Statement-2: The exponent of prime p in n! is [(n)/(p)]+[(n)/(p^(2))]+[(n)/(p^(3))]+......+[(n)/(p^(x))]" where "p^(k)lenltp^(k+1)

The sum of exponents of prime factors in the prime -factorisation of 196 is

What is the sum of exponents of prime factors in the prime factorisation of 250.

Write the sum of exponents of prime factors in the prime factorisation of 250.

Write the sum of the exponents of prime factors in the prime factorization of 98.

The sum of the exponents of the prime factors in the prime factorisation of 196, is (a) 1 (b) 2 (c) 4 (d) 6

Statement-I: The exponent of 3 in 100! is 48 . Statement-II: If n is a t ve integer and p is a prime number then exponent is [(n)/(p)]+[(n)/(p^(2))]+[(n)/(p^(3))]+...

if n is a set of prime numbers then the value of 10 U n = 2 A n =

Write the contrapositive of the statement : "If n is a prime number, then n is even".