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Find x if nPr = x nCr - Mathematics and Statistics

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Question

Find x if nPr = x nC

Sum
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Solution

nPr = x nC

We know that nCr = `(""^"n""P"_"r")/("r"!)`

nPr = `x xx (""^"n""P"_"r")/("r"!)`

∴ 1 = `x/("r"!)`

∴ x = r!

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Chapter 3: Permutations and Combination - Exercise 3.6 [Page 65]

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