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\(P(n,k)\) is the number of \(k\)-permutations of \(n\) elements, the number of ways to arrange \(k\) objects chosen from \(n\) distinct objects.

\begin{equation*} P(n,k) = \frac{n!}{(n-k)!} = n(n-1)(n-2)\cdots (n-(k-1))\text{.} \end{equation*}
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