Find the number of functions from a 5-element set onto a 3-element set – math.stackexchange.com

Find the number of functions from a 5-element set onto a 3-element set – math.stackexchange.com

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In class we learned the number of functions from an $m$-element set to an $n$-element set is $n^{m}$. So this answer should be $5^{3}$? I just need confirmation if my answer is correct, if not ...

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