n! has 23 zeroes. What is the maximum possible value of n?

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101

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Not possible

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Cannot be determined

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Solution

The correct option is C Not possible
This can never happen because at 99! number of zeroes is 22 and at 100! the number of zeroes is 24.

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x! ends with n zeroes. (x+1)! ends with n+2 zeroes. $24 \leq x \leq 626$ . How many values are possible for x?

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