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At a meeting, $5$ scientists, $2$ mathematicians, and a journalist are to be seated around a circular table.   How many different arrangements are possible if each scientist must sit next to a mathematician?  (Two seatings are considered equivalent if one seating can be obtained from rotating the other.)

 Jul 2, 2024
 #1
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The number of ways is 520.

 Jul 2, 2024

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