Dividing both sides by n, I get that (n-1)! | n^(n-1) => (n-1) | n^(n-1) but I'm stuck as to where to go next. Any help would be appreciated.

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- April 11th 2013, 03:22 AMRusselsTeapotProve that n! does not divide n^n for n>2
Dividing both sides by n, I get that (n-1)! | n^(n-1) => (n-1) | n^(n-1) but I'm stuck as to where to go next. Any help would be appreciated.

- April 11th 2013, 05:51 AMRusselsTeapotRe: Prove that n! does not divide n^n for n>2Quote:

Originally Posted by**topsquark**