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 May 8th, 2015, 05:20 PM #1 Member   Joined: Mar 2015 From: Brasil Posts: 90 Thanks: 4 Real Analysis. Let $X$ be a set with $n$ elements. Use induction to prove that the set of bijections (permutations) $f:X\rightarrow X$ has $n!$ elements.
 May 9th, 2015, 01:36 PM #2 Global Moderator   Joined: May 2007 Posts: 6,526 Thanks: 588 Order the elements. First element has n possible images, second element has n-1, etc.

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