ThmDex – An index of mathematical definitions, results, and conjectures.
F11238
Formulation 0
Let $n \in \mathbb{N}$ be a D996: Natural number.
Then \begin{equation} |\text{Inj}(\{ 1, \ldots, n \} \to \{ 1, \ldots, n \})| = n! \end{equation}