JCECE Engineering JCECE Engineering Solved Paper-2005

  • question_answer
    The number of terms in the expansion of \[{{(a+b+c)}^{10}}\]is:

    A) \[11\]                                   

    B) \[21\]

    C) \[55\]                                   

    D) \[66\]

    Correct Answer: D

    Solution :

    Key Idea: The number of terms in the expansion of\[{{(a+b+c)}^{n}}\]\[^{n+2}{{C}_{2}}\]. The number of terms in the expansion of\[{{(a+b+c)}^{10}}\]is                 \[^{10+2}{{C}_{2}}{{=}^{12}}{{C}_{2}}\]                            \[=\frac{12\times 11}{2}=66\]


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