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Find n if 23C3n = 23C2n+3 - Mathematics and Statistics

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प्रश्न

Find n if 23C3n = 23C2n+3 

बेरीज
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उत्तर

23C3n = 23C2n+3 

We know that if nCx = nCy, then x = y or x + y = n

∴ 3n = 2n + 3 or 3n + 2n + 3 = 23

∴ n = 3 or 5n = 20

∴ n = 3 or n = 4.

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Properties of Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Permutations and Combination - Exercise 3.6 [पृष्ठ ६५]

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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 16. (ii) | पृष्ठ ६५

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