Question

Quick proof of why n! is smaller than n^n

Answer 1

@hartnn

Answer 2

would it be as simple as saying that n! would be composed of the product of all numbers less than n AND n but n^n would be the product of n times n an n amount of time?

Answer 3

because basically 6! would be 6*5*4*3*2*1 but 6^6 would be 6*6*6*6*6*6