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Three adults and three children are to be seated at a circular table.  In how many different ways can they be seated if each child must be next to at least one adult?  (Two seatings are considered the same if one can be rotated to form the other.)

 Mar 23, 2024
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You must alternate children and adults to meet the rule, so that leaves 2 child spots and 3 adult spots you have to randomize. The child spots can be randomizes 2 ways, and the adult spots can be randomized 6 ways. 12 ways total.

 Mar 23, 2024

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