In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting so that one person is between them? (Two seatings are considered equivalent if one is a rotation of the other.)
Let Fred and Gwynn occupy any two chairs....and they can be seated in 2 ways
The other 4 people can be seated in 4! = 24 ways
So
2 * 24 =
48 ways
