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4 hours ago comment added Sam Hopkins Well, of course $n^n$ is the number of functions from a set of size $n$ to itself. For instance, Joyal's proof of Cayley's formula starts from this observation.
4 hours ago history edited KConrad CC BY-SA 4.0
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4 hours ago history edited KConrad CC BY-SA 4.0
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4 hours ago history edited KConrad CC BY-SA 4.0
added 59 characters in body
4 hours ago history answered KConrad CC BY-SA 4.0