I'm attempting this question, but I'm a little unsure about my answers. The full question is:
Five people are to be seated around a circular table. Two seatings are considered the same if one is a rotation of the other.
- How many seatings are possible?
- How many are possible if John and Mary always insist on sitting next to each other?
- What is the probability if the five people are place randomly around the table that John and Mary will end up sitting next to one another?
My answers are:
- (5-1)! = 4! = 24
- 3! = 6
- C(5,2) = 10