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If n is even and $^{n} C_{0} <^{n} C_{1} <^{n} C_{2} < \dots <^{n} C_{r} >^{n} C_{r + 1} > \dots >^{n} C_{n}$ then r =

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Correct option is A

By the given condition, it is clear that nCr is the greatest among nC0,nC1,…,nCn.Since n is even,∴ nCr is the greatest for r=n2∴ r=n2

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If n is even and nC0<nC1<nC2<…<nCr>nCr+1>…>nCn then r =

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If n is even and $^{n} C_{0} <^{n} C_{1} <^{n} C_{2} < \dots <^{n} C_{r} >^{n} C_{r + 1} > \dots >^{n} C_{n}$ then r =