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.)
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! :)