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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 23, 2024
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I don't think it's possible for this to occur. 

In the problem, it said 

 each scientist must sit next to a mathematician

However, take a look at the graph. 

I don't think it's possible for that sentence to be true. 

Thus, this problem is invalid. 

 

Thanks! :)

 Jul 23, 2024
edited by NotThatSmart  Jul 23, 2024

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