# Solving for n as a Factorial

Does there exist a natural number n such that

[n!/(n-4)!] = 11,880 ?

if so find n, if not explain why not

(Hint: factor 11,880 into its prime factors)

https://brainmass.com/math/algebra/solving-factorial-11575

#### Solution Summary

A number n is found that satisfies a factorial equality. The natural number functions are given.

$2.19