Hi!

I have encountered a number of questions asking for the number of digits in \(n!\). If you know varied methods of solving the same, please do share here.

Terms and conditions:

- No use of Computer Science is allowed.

Hi!

I have encountered a number of questions asking for the number of digits in \(n!\). If you know varied methods of solving the same, please do share here.

Terms and conditions:

- No use of Computer Science is allowed.

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## Comments

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TopNewestThe first two terms of Stirling's approximation to n! are

\(\ln (n!) = n \ln (n) - n\)

So the number of digits in \(n!\) can be estimated as \(\lfloor n \ln(10) (\ln (n) - 1) \rfloor + 1\) – Thomas Jones · 1 year, 7 months ago

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One of the ways : Stirling's Formula. – Swapnil Das · 1 year, 7 months ago

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