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J & K CET Engineering J and K - CET Engineering Solved Paper-2003

  • question_answer
    The number of  dissimilar terms in expansion of \[{{(a+b)}^{n}}\] is \[n+1,\] therefore number of dissimilar terms of the expansion \[{{(a+b+c)}^{12}}\] is                                       

    A)  \[13\]             

    B)  \[39\]

    C)  \[78\]            

    D)  \[91\]

    Correct Answer: D

    Solution :

    The number of terms in \[{{(a+b+c)}^{12}}\] is \[^{12+2}{{C}_{2}}{{=}^{14}}{{C}_{2}}\] \[=\frac{14\times 13}{2\times 1}\] \[=91\]


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