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Find the number of ways in which 18 different beads can be arranged to form a necklace.

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18 different beads can be arranged among themselves in a circular order in (18 – 1)! = 17! ways. Now in the case of necklace there is no distinct between clockwise and anticlockwise arrangements. So, the required number of

arrangements = 1/2(17!)=17!/2

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