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.)
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
