[Solution Library] Let [ n ] be the set 1,2,3,..,n . Show that for any set X there is a bijective function X^[ n ]→ \underbraceX* X* ...* X_n times
Question: Let \(\left[ n \right]\) be the set \(\left\{ 1,2,3,..,n \right\}\). Show that for any set X there is a bijective function
\[{{X}^{\left[ n \right]}}\to \underbrace{X\times X\times ...\times X}_{\text{n times}}\]where \({{X}^{\left[ n \right]}}\) is the set of all functions from [n] to X.
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