OK guys I have to find the number of partial and total functions $ f:A\rightarrow A $ , where $ |A|=n $. The answers are respectively $ (n+1)^n $ and $ n^n $, but I just can't figure out how exactly we come to this conclusion. Could you please explain why this is so and the logic behind it ?
2026-03-30 06:26:01.1774851961
Partial and Total functions
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