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JEE MATHEMATICS MCQ: PERMUTATIONS

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The value of   nPr{\;^n}{P_r} is equal to
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Correct option: A
  n−1Pr+r.  n−1Pr−1{\;^{n - 1}}{P_r} + r.{\;^{n - 1}}{P_{r - 1}}
Option A,   n−1Pr+r.  n−1Pr−1{\;^{n - 1}}{P_r} + r.{\;^{n - 1}}{P_{r - 1}}, is correct because it can be algebraically simplified to equal   nPr{\;^n}{P_r} using the formula for permutations.

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