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

  • question_answer
    Given six line segments of lengths 2, 3, 4, 5, 6, 7 units, the number of triangles that can be formed by these lines is [AMU 2002]

    A) \[^{6}{{C}_{3}}-7\]

    B) \[^{6}{{C}_{3}}-6\]

    C) \[^{6}{{C}_{3}}-5\]

    D) \[^{6}{{C}_{3}}-4\]

    Correct Answer: B

    Solution :

    No. of triangles =\[^{6}{{C}_{3}}\,-\,6\].


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