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Find n if nC8 = nC12 - Mathematics and Statistics

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Question

Find n if nC8 = nC12 

Sum

Solution

nC8 = nC12 

If nCx = nCy, then either x = y or x = n – y

∴ 8 = 12 or 8 = n – 12

But 8 = 12 is not possible

∴ 8 = n – 12

∴ n = 20

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Properties of Combinations
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Chapter 3: Permutations and Combination - Exercise 3.6 [Page 65]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.6 | Q 16. (i) | Page 65

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