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Find n, if: nn(15-n)!(13-n)! = 12 - Mathematics and Statistics

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Question

Find n, if: `((15 - "n")!)/((13 - "n")!)` = 12

Sum

Solution

`((15 - "n")!)/((13 - "n")!)` = 12

∴ `((15 - "n")(14 - "n")(13 - "n")!)/((13 - "n")!)` = 12

∴ (15 – n) (14 – n) = 4 × 3
Comparing on both sides, we get
15 − n = 4
∴ n = 11

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Concept of Factorial Function
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Chapter 6: Permutations and Combinations - Exercise 6.2 [Page 76]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.2 | Q 9. (ii) | Page 76
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