JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Circular Permutations

  • question_answer
    In how many ways can 15 members of a council sit along a circular table, when the Secretary is to sit on one side of the Chairman and the Deputy Secretary on the other side

    A) \[2\times 12\,!\]

    B) 24

    C) \[2\times 15\,!\]

    D) None of these

    Correct Answer: A

    Solution :

      Since total members are 15, but one is to left, because of circular condition, therefore remaining members are 14 but three special member constitute a member. Therefore required number of arrangements are\[12\ !\ \times 2\], because, chairman remains between the two specified persons and the person can sit in two ways.


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