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If f(x)=prod(n=1)^(100)(x-n)^(n(101-n))...

If `f(x)=prod_(n=1)^(100)(x-n)^(n(101-n)),w h e r eprod_(i=1)^k a_i` stands for product `a_1dota_2......... a_k ,` then `(f(101))/(f^(prime)(101))=` (a)`5050` (b) `1/(5050)` (c) `10010` (d) `1/(10010)`

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