Let $n, m \in \mathbb{N}$ each be a D996: Natural number such that
| (i) | \begin{equation} m \leq n \end{equation} |
| (ii) | $\text{Inj}(\{ 1, \ldots, m \} \to \{ 1, \ldots, n \})$ is the D2222: Set of injections from $\{ 1, \ldots, m \}$ to $\{ 1, \ldots, n \}$ |
Then
\begin{equation}
|\text{Inj}(\{ 1, \ldots, m \} \to \{ 1, \ldots, n \})|
= m ! \binom{n}{m}
\end{equation}
