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

  • question_answer
    The greatest possible number of points of intersection of 8 straight lines and 4 circles is

    A) 32

    B) 64

    C) 76

    D) 104

    Correct Answer: D

    Solution :

    The required number of points \[{{=}^{8}}{{C}_{2}}\times 1{{+}^{4}}{{C}_{2}}\times 2+\left( ^{8}{{C}_{1}}{{\times }^{4}}{{C}_{1}} \right)\times 2\] \[=28+12+32\times 2=104\]


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