If n is odd and n C 0 n C r + 1 > n C r + 2 > ….. n C n then r =

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Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If n is odd and n C 0 < n C 1 < n C 2 < ….. < n C r >
n C r + 1 > n C r + 2 > ….. n C n then r =

Does not exist

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The correct answer is:

From the given relation it is evident that n C r is the greatest among the values n C 0 , n C 1 , …., n C n

⇒ r = or because n is odd

But only one term n C r is greater to other so there is no value of r.

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