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 \[{{(x+2y+3z)}^{8}}\] is  [RPET 2000]

    A) \[{{3}^{8}}\]

    B) \[{{5}^{8}}\]

    C) \[{{6}^{8}}\]

    D) None of these

    Correct Answer: C

    Solution :

    Sum of the coefficients is obtained by putting   \[x=y=z=1,\] so sum of the coefficients \[={{\text{(1 }+\text{ 2 }+\text{ 3)}}^{\text{8}}}\text{ }=\text{ }{{\text{6}}^{\text{8}}}\].


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