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How to find no . Of zeros in n!...

How to find no . Of zeros in n!

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Find the zeroes

Find the number of zeros in the product of 10!.

C_0^2-C_1^2+C_2^2-C_3^2+.....+(-1)^nC_n^2= (A) zero always (B) zero when n is even (C) zero when n is odd (D) non zero