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May 8th, 2015, 05:20 PM   #1
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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.
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May 9th, 2015, 01:36 PM   #2
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Order the elements. First element has n possible images, second element has n-1, etc.
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