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
    The number of terms in the expansion of \[{{(a+b+c)}^{n}}\] will be

    A) \[n+1\]

    B) \[n+3\]

    C) \[\frac{(n+1)(n+2)}{2}\]

    D) None of these

    Correct Answer: C

    Solution :

    By converse rule, put n= 1, 2, then number of terms are 3, 6. Hence number of terms of (a+b+c)n \[=\frac{(n+1)(n+2)}{2}\].


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