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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2008

  • question_answer
    In a\[\Delta ABC,\]there are 3, 4 and 5 points on the sides AB, BC and CA respectively. The number of triangles formed by these points as vertices is

    A)  201             

    B)  120

    C)  205             

    D)  435

    Correct Answer: C

    Solution :

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


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