# Math Help - Factorial problem

1. ## Factorial problem

I stumbled across this problem online, and was wondering how to go about solving it.

$\frac{((5000!)!)!}{(400!)!}$

It seems like the answer would be incredibly large.

2. ## Re: Factorial problem

Yes indeed it is very large and normal calculators can compute til 79!..
anyway use stirlings approximation formula...

see here

Stirling's approximation - Wikipedia, the free encyclopedia