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Find n if nCn–3 = 84 - Mathematics and Statistics

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प्रश्न

Find n if nCn–3 = 84

बेरीज
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उत्तर

nCn–3 = 84

∴ `("n"!)/(("n" - 3)!["n" - ("n" - 3)]!)` = 84

∴ `("n"("n" - 1)("n" - 2)("n" - 3)!)/(("n" - 3)! xx 3!)` = 84

∴ n(n – 1)(n – 2) = 84 × 6

∴ n(n – 1)(n – 2) = 9 × 8 × 7

Comparing on both sides, we get n = 9

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पाठ 3: Permutations and Combination - Exercise 3.6 [पृष्ठ ६४]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 3 Permutations and Combination
Exercise 3.6 | Q 2. (c) | पृष्ठ ६४
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