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In how many ways can 8 people sit around a round table if 3 of the people -- Pierre, Rosa, and Thomas -- all want to sit together? (Two seatings are considered the same if one is a rotation of the other.)

 Oct 26, 2019
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Consider that the three are anchored as a "block' .....  they can be seated in 3! = 6 ways

And the other 5 people can be arranged  in 5! =120 ways

So

6 x 120  = 720 different arrangements

 Oct 26, 2019

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