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Tamil Nadu Board of Secondary EducationHSC Science Class 11

If nC12 = nC9 find 21Cn - Mathematics

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Question

If nC12 = nC9 find 21Cn

Sum
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Solution

Given nC12 = nC9

We have nCx = nCy 

⇒ x = y or x + y = n

nC12 = nC9

⇒ 12 + 9 = n

⇒ n = 21

⇒ 21Cn = 21C21 = 1

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Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.3 [Page 186]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.3 | Q 1 | Page 186
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