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Find n if 6P2=n6C2

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प्रश्न

Find n if `""^6"P"_2 = "n" ""^6"C"_2`

योग
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उत्तर

`""^6"P"_2 = "n" ""^6"C"_2`

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

∴ `(6!)/(4!) = "n"(6!)/(2!4!)`

∴ n = 2! = 2 × 1 = 2

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

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

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