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.