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

  • question_answer
    The number of ways that 8 beads of different colours be string as a necklace is [EAMCET 2002]

    A) 2520

    B) 2880

    C) 5040

    D) 4320

    Correct Answer: A

    Solution :

    8 different beads can be arranged in circular form in (8 - 1)! = 7! ways.  Since there is no distinction between the clockwise and anticlockwise arrangement. So the required number of arrangements = \[\frac{7\,!}{2}\,\,=\,\,2520.\]


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