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

  • question_answer
    The sum of coefficients in the expansion of \[{{(1+x+{{x}^{2}})}^{n}}\] is  [EAMCET 2002]

    A) 2

    B) \[{{3}^{n}}\]

    C) \[{{4}^{n}}\]

    D) \[{{2}^{n}}\]

    Correct Answer: B

    Solution :

    We can obtain sum of coefficients by putting x = 1 in polynomial. Þ \[{{(1+x+{{x}^{2}})}^{n}}={{(1+1+1)}^{n}}={{3}^{n}}\].


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