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## Main Question or Discussion Point

Is it true that the set of permutations on a infinite set K has the same cardinality as all functions between a infinite set K to itself?

- Thread starter moo5003
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- #1

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Is it true that the set of permutations on a infinite set K has the same cardinality as all functions between a infinite set K to itself?

- #2

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Did you try to set up a bijection? Or did you try **anything** to (dis)prove what you're aksing for?

- #3

HallsofIvy

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How many functions are there from K to K?

(Permutations

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