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Find x if nPrxnCrnPr=x nCr - Mathematics and Statistics

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प्रश्न

Find x if `""^"n""P"_"r" = "x"  ""^"n""C"_"r"`

योग
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उत्तर

`""^"n""P"_"r" = "x"  ""^"n""C"_"r"`

x = `(""^"n""P"_"r")/(""^"n""C"_"r")`

= `(("n"!)/(("n" - "r")!))/(("n"!)/("r"!("n" - "r")!))`

x = `("n"!)/(("n" - "r")!)xx("r"!("n" - "r")!)/("n"!)`

∴ x = r!

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Permutations and Combinations - Exercise 6.7 [पृष्ठ ९०]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 6 Permutations and Combinations
Exercise 6.7 | Q 6 | पृष्ठ ९०
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