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Question: If n is odd and <sup>n</sup>C<sub>0</sub>\<<sup>n</sup>C<sub>1</sub>\<<sup>n</sup>C<sub>2</sub>\< …...

If n is odd and

nC0<nC1<nC2< ….. <nCr>nCr + 1>nCr + 2> …..nCn then r =

A

n2\frac{n}{2}

B

n12\frac{n - 1}{2}

C

n22\frac{n - 2}{2}

D

Does not exist

Answer

Does not exist

Explanation

Solution

From the given relation it is evident that nCr is the greatest among the values nC0, nC1, …., nCn

̃ r = n12\frac{n - 1}{2} or n+12\frac{n + 1}{2} because n is odd

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