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.)

onyuIee Jul 23, 2024

#1**+1 **

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! :)

NotThatSmart Jul 23, 2024