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JEE MATHEMATICS MCQ: PERMUTATIONS

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1P1+2.2P2+3.3P3+⋯+n.nPn{ }^1 \mathrm{P}_1+2 .{ }^2 \mathrm{P}_2+3 .{ }^3 \mathrm{P}_3+\cdots+n .{ }^n \mathrm{P}_n is equal to
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Correct option: B
n+1Pn+1−1{ }^{n+1} \mathrm{P}_{n+1}-1
The correct answer is B (n+1Pn+1−1{ }^{n+1} \mathrm{P}_{n+1}-1) because the given sum can be simplified to a telescoping series of factorials.

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