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Find n if 6P2 = n 6C2 - Mathematics and Statistics

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Question

Find n if 6P2 = n 6C2

Sum
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Solution

6P2 = n 6C2

∴ `(6!)/((6 - 2)!) = "n" (6!)/(2!(6 - 2)!)`

∴ `(6!)/(4!) = "n"(6!)/(2!4!)`

∴ n = 2! 

= 2 × 1

= 2

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Chapter 3: Permutations and Combination - Exercise 3.6 [Page 64]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.6 | Q 2. (a) | Page 64
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