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

  • question_answer
    The number of triangles that can be formed by 5 points in a line and 3 points on a parallel line is

    A) \[^{8}{{C}_{3}}\]

    B) \[^{8}{{C}_{3}}{{-}^{5}}{{C}_{3}}\]

    C) \[^{8}{{C}_{3}}{{-}^{5}}{{C}_{3}}-1\]

    D)   None of these

    Correct Answer: C

    Solution :

    The required number of ways =\[^{8}{{C}_{3}}{{-}^{5}}{{C}_{3}}{{-}^{3}}{{C}_{3}}\]. {Since total points are 8, but 5 are collinear and other three are also collinear}.


You need to login to perform this action.
You will be redirected in 3 sec spinner