JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Geometrical Problems

  • question_answer
    Out of 10 points in a plane 6 are in a straight line. The number of triangles formed by joining  these points are [RPET 2000]

    A) 100

    B) 150

    C) 120

    D) None of these

    Correct Answer: A

    Solution :

    Number of triangles =\[^{10}{{C}_{3}}\,-{{\,}^{6}}{{C}_{3}}\]\[=120-20=100\].


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