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

  • question_answer
    There are \[16\] points in a plane out of which 6 are collinear, then how many lines can be drawn by joining these points [RPET 1986; MP PET 1987]

    A) 106

    B) 105

    C) 60

    D) 55

    Correct Answer: A

    Solution :

    The number of lines are \[^{16}{{C}_{2}}{{-}^{6}}\,{{C}_{2}}+1\]\[=120-15+1=106\].


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