If f(x) = Π (x - n)^n(101 - n) for n ∈ [1, 100], where Πai for i ∈ [1, k] stands for product a1 .a2 .......... ak , then f(101)/f'(101) =
(A) 5050
(B) 1/5050
(C) 10010
(D) 1/10010
Correct option (B)
Explanation: