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Find n, if 23C3n=23C2n+3 - Mathematics and Statistics

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Question

Find n, if `""^23"C"_(3"n") = ""^23"C"_(2"n" + 3)`

Sum
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Solution

`""^23"C"_(3"n") = ""^23"C"_(2"n" + 3)`
∴ 3n = 2n + 3        ...(∵ nCx then x = y)
∴ 3n – 2n = 3
∴ n = 3

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Chapter 6: Permutations and Combinations - Exercise 6.7 [Page 90]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.7 | Q 2 | Page 90
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