Multiple Choice Questions on In the expansion of 1 x 50 the sum of the coefficients of odd powers of x is ........ for NDA Exam Preparation

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Multiple Choice Questions

In the expansion of 1 x 50 the sum of the coefficients of odd powers of x is ........

Mathematics (NDA) Permutation & Combination
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    In the expansion of (1+x)50 , the sum of the coefficients of odd powers of x is-

    226

    Incorrect Answer

    249

    Correct Answer

     250

    Incorrect Answer

    251

    Incorrect Answer
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    Explanation:

    In the expansions of (1+x)50, the sum of all the coefficients is -

    C0?+C1?+C2?+....Cn ?= 2n
    Then, the sum of the coefficients of odd powers of x is
    C1?+C3?+C5?+....Cn = ½ x 2n
    ½ x 250 = 249
    Hence, the answer is 249.

    By: Yachna
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