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

  • question_answer
    The number of diagonals in a polygon of \[m\] sides is          [BIT 1992; MP PET 1999; UPSEAT 1999; DCE 1999; Pb. CET 2001]

    A) \[\frac{1}{2\ !}m(m-5)\]

    B) \[\frac{1}{2\ !}m(m-1)\]

    C) \[\frac{1}{2\ !}m(m-3)\]

    D) \[\frac{1}{2\ !}m(m-2)\]

    Correct Answer: C

    Solution :

      Required number of diagonals = \[^{m}{{C}_{2}}-m\] \[=\frac{m\,(m-1)}{2\,!}-m=\frac{m}{2\,!}(m-3)\].


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