Find no of zeros in 100 !

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Find the no. of zeros in experssion : 1^(2) xx 2^(2) xx 3^(3) xx 4^(4) xx ……..xx100^(100)

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How to find no . Of zeros in n!

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

Find the number of zeroes in: 100^(1)xx99^(2)xx98^(3)xx97^(4)xx….xx1^(100)