JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Properties of binomial coefficients

  • question_answer
    The sum of the coefficients in the expansion of \[{{(1+x-3{{x}^{2}})}^{3148}}\] is [Karnataka CET  2003]

    A) 7

    B) 8

    C) ? 1

    D) 1

    Correct Answer: D

    Solution :

    In the expression \[{{(1+x-3{{x}^{2}})}^{3148}}\] the sum of coefficients is obtained by putting x = 1. \ Sum of coefficients = \[{{(1+1-{{3.1}^{2}})}^{3148}}\]           = \[{{(2-3)}^{3148}}\] = \[{{(-1)}^{3148}}\] = 1.


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