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At a meeting, five scientists, two mathematicians, five journalists, two biologists, and three politicians are to be seated around a circular table.  How many different arrangements are possible if the scientists must all sit together (in five consecutive seats).  (Two seatings are considered equivalent if one seating can be obtained from rotating the other.)

Mar 17, 2023

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At a meeting, five scientists, two mathematicians, five journalists, two biologists, and three politicians are to be seated around a circular table.  How many different arrangements are possible if the scientists must all sit together (in five consecutive seats).  (Two seatings are considered equivalent if one seating can be obtained from rotating the other.)

5 scientist                (all together)

2 mathematicians

5 Journalist

2 biologists

3 politicians

17 people

There are 5! ways to seat the scientist then  12! ways to seat everyone else

5! * 12! =  a LOT of ways.

Mar 18, 2023