English

If nC12 = nC8, then n is equal to ______.

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Question

If nC12 = nC8, then n is equal to ______.

Options

  • 20

  • 12

  • 6

  • 30

MCQ
Fill in the Blanks
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Solution

If nC12 = nC8, then n is equal to 20.

Explanation:

Given that nC12 = nC  ......[∵ nCr = nCn-r]

nC12 = nCn-8  

∴ n – 8 = 12

⇒ n = 12 + 8

= 20

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Chapter 7: Permutations and Combinations - Exercise [Page 124]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 7 Permutations and Combinations
Exercise | Q 26 | Page 124

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