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JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1
Let Pm{P_m} stand for   mPm.{\;^m}{P_m}. Then, 1+P1+2  P2+3  P3+…+n.Pn1 + {P_1} + 2\;{P_2} + 3\;{P_3} + \ldots + n.{P_n} is equal to
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Correct option: C
(n+1)  !−1\left( {n + 1} \right)\;! - 1
Option C ((n+1) !−1\left( {n + 1} \right)\,! - 1) is correct because it represents the sum of the series 1+P1+2  P2+3  P3+…+n.Pn1 + {P_1} + 2\;{P_2} + 3\;{P_3} + \ldots + n.{P_n}.

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