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

  • question_answer
    There are 16 points in a plane, no three of which are in a straight line except 8 which are all in a straight line. The number of triangles that can be formed by joining them equals                                  [Kurukshetra CEE 1996, 1998]

    A) 504

    B) 552

    C) 560

    D) 1120

    Correct Answer: A

    Solution :

    \[^{16}{{C}_{3}}{{-}^{8}}{{C}_{3}}=504\].


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