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JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Multinomial theorem, Terms free from radical sign in the expansion(a1/p+b1/q), Problems regarding to three four consecutive terms or coefficients

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

    A) 7

    B) 8

    C) 9

    D) None of these

    Correct Answer: B

    Solution :

    \[\frac{(n+1)(n+2)}{2}=45\] or \[{{n}^{2}}+3n-88=0\Rightarrow n=8\]..


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