Multiple Choice Questions on Let the coefficient of the middle term of the binomial expansion of 1 x 2n be and those of two ........... for NDA Exam Preparation

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Multiple Choice Questions

Let the coefficient of the middle term of the binomial expansion of 1 x 2n be and those of two ...........

Mathematics (NDA) Permutation & Combination
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    Let the coefficient of the middle term of the binomial expansion of (1 + x)2n be \alpha and those of two middle terms of the binomial expansion of (1 + x)2n – 1 be \beta and \gamma . Which one of the following relations is correct?

    α>β+γ

    Incorrect Answer

    α<β+γ

    Incorrect Answer

    α=β+γ

    Correct Answer

    α=βγ

    Incorrect Answer
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    Explanation:
    α=2nCn
    β=2n−1Cn
    γ=2n−1Cn−1
    β+γ=2n−1Cn+2n−1Cn−1=2nCn=α
    α=β+γ

    By: Munesh Kumari
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