The number of permutations of n different things, taken r at a time, in which P(r n-P)…
Mathematics · JEE Main · NTA Exams — Permutations and Combinations
The number of permutations of n different things, taken r at a time, in which \(P(r \leq n-P)\) particular things will never occur is :
- \(P\left(n-P_{1} r\right) \times P\left(n_{2} n-P\right)\)
- \(P(n, r) \times P(n, P)\)
- \(P^{2}\left(n_{4} r\right)-P\left(n_{4} P\right)\)
- \(P^{2}\left(n-P_{1} r\right)\)
Answer
(D) P^ 2 (n-P_ 1 r )
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