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In: Advanced Math

On a circular array with n positions, we wish to place the integers 1, 2, ......

On a circular array with n positions, we wish to place the integers 1, 2, ... r in order, clockwise, such that consecutive integers, including the pair (r,1) are not in adjacent positions on the array. Arrangements obtained by rotation are considered the same. In how many ways can this be done? Give a combinatorial proof.

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Colby Messinger answered 1 year ago
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