Theorem 3.3.2. Permutations of a subset without replacement.

The number of ways to arrange r items from a set of n distinct items is
\begin{equation*} _nP_r = \frac{n!}{(n-r)!} \end{equation*}
This is sometimes denoted also as P(n,r) or \(P_r^n\text{.}\)

Proof.

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