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JCECE Engineering JCECE Engineering Solved Paper-2009

  • question_answer
    The sides \[AB,\,\,BC,\,\,CA\] of triangle \[ABC\] have \[3,\,\,\,4\] and \[5\] interior points respectively on them. Find the number of triangles that can be constructed using these points as vertices

    A) \[201\]                                 

    B) \[120\]

    C) \[205\]                                 

    D) \[435\]

    Correct Answer: C

    Solution :

    Required number of triangles,                 \[{{=}^{12}}{{C}_{3}}{{-}^{3}}{{C}_{3}}{{-}^{4}}{{C}_{3}}{{-}^{5}}{{C}_{3}}\]                 \[=220-1-4-10\]                 \[=205\]


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