Let p be a prime number and n be a positive integer then exponent of p in `n!` is denoted by `E_p(n!)` and is given by `E_p(n!)=[n/p]+[n/(p)^2]+[n/(p)^3]+....[n/(p^k)]` where `p^kltnltp^(k+1)` and [x] denotes the greatest integral part of x if we isolate the power of each prime contained in any number N then N can be written as `N=2^(alpha_1).3^(alpha_2).5^(alpha_3).7^(alpha_4)`....where `alpha_i` are whole numbers
the exponent of 7 in `,^100c_50` is

Options

A. 0
B. 1
C. 2
D. 3

Answer

A