JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Self Evaluation Test - Binomial Theorem

  • question_answer
    If number of terms in the expansion of\[{{(x-2y+3z)}^{n}}\] is 45, then n=

    A) 7

    B) 8

    C) 9

    D) \[{{6}^{10}}\]

    Correct Answer: B

    Solution :

    [b] No. of terms in the expansion \[{{=}^{n+3-1}}{{C}_{3-1}}\] \[\therefore \,\,\,{{\,}^{n+2}}{{C}_{2}}=45\Rightarrow n=8\]


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