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Circular permutation

Answer» So the important point about circular arrangement is as follows:\tIf the clockwise and counter clockwise orders\xa0CAN\xa0be distinguished then total number of circular permutation of n elements taken all together = (n-1)!\tIf the clockwise and counter clockwise orders\xa0CANNOT\xa0be distinguished then total number of circular permutation of n elements taken all together = (n-1)! / 2\xa0Example of indistinguishable case is, if you consider 5 diamonds and you want to make a necklace. In this case 5 diamonds can be arranged in a circle in (5-1)! = 24 ways. But in case of forming a necklace the clockwise and counter clockwise arrangements cannot be distinguished. So the total circular permutation in this case = (5-1)! / 2 = 4! / 2 = 12 ways.


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