Just wanted some help with this little proof.:
Let X and Y be Finite Sets. Prove that |X^Y| = |X|^|Y|
2026-04-03 00:03:48.1775174628
Finite Sets Proof on Domains
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$X^Y$ is the set of functions $Y \to X$. Given a particular $y$ in $Y$, how many options are there for its image in $X$? What if you consider two points $y_1$ and $y_2$ in $Y$; how many ways can they be mapped to things in $X$? What if you consider all points in $Y$?