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

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))]+...

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function.

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function.

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function.

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function.

Exponent of a prime number in n!!

Statement-1: The number of zeros at the end of 100! Is, 24. Statement-2: The exponent of prine p in n!, is [(n)/(p)]+[(n)/(p^(2))]+.......+[(n)/(p^(r))] Where r is a natural number such that P^(r)lenltP^(r+1) .

Statement-1: The number of zeros at the end of 100! Is, 24. Statement-2: The exponent of prine p in n!, is [(n)/(p)]+[(n)/(p^(2))]+.......+[(n)/(p^(r))] Where r is a natural number such that P^(r)lenltP^(r+1) .

If P is a prime,n is a positive integer and n+p=2000,LCM of n and p is 21879 then

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)