मराठी

If nPr=1814400 and nCr = 45, find r. - Mathematics and Statistics

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प्रश्न

If `""^"n""P"_"r" = 1814400` and `""^"n""C"_"r"` = 45, find r.

बेरीज
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उत्तर

`""^"n""P"_"r"` = 1814400, `""^"n""C"_"r"` = 45

∴ `(""^"n""P"_"r")/(""^"n""C"_"r")=1814400/45`

∴ `("n"!)/(("n" - "r")!)xx("r"!("n" - "r")!)/("n"!)=1814400/45`

∴ r! = 40320
∴ r! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
∴ r! = 8!
∴ r = 8

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पाठ 6: Permutations and Combinations - Exercise 6.6 [पृष्ठ ८९]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 6 Permutations and Combinations
Exercise 6.6 | Q 5 | पृष्ठ ८९
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