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

 Jun 20, 2024
 #1
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Here's my best attempt....

 

"Anchor"  the mathmaticians in  any two seats next to each other

 

And they  can sit  in 2 ways

 

The other 5 people can  be arranged in the other five seats in  5! = 120 ways

 

So  2 * 120  =   240 arrangements

 

cool cool cool

 Jun 20, 2024

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