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JEE MATHEMATICS MCQ: COMBINATIONS

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If nn is even and nC0<nC1<nC2<⋯<nCr>nCr+1>⋯>nCn{ }^n C_0 < { }^n C_1 < { }^n C_2 < \cdots < n C_r>{ }^n C_{r+1}>\cdots > { }^n C_n then r=r=
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Correct option: A
n2\frac{n}{2}
Option A (n2\frac{{n}}{{2}}) is correct because for even n, the binomial coefficient nCr{ }^n C_r is maximum when r = n/2.

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