Mathematics · supplementary

Product identity involving permutations for JEE

Meaning of P(n,r) and C(n,r)

Formula

\(\,{}^nP_r\,{}^{n-r}P_s={}^nP_{r+s}\)

Variables: \(n,r,s\) are integers.

Conditions: \(r,s\ge 0\) and \(r+s\le n\).

Sequential ordered selections without repetition.

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