+11 A committee with nine people gather to have a meeting. The members sit around a circular table. Two of the committee members, Rick and Morty, want to sit so that there is exactly one person between them. How many different seatings are possible? (Two seatings are considered the same if one can be rotated to obtain the other.)
+128460 Anchor Rick and Morty in any two seats
And they can be arranged in 2 ways
And we have C(7,1) = 7 ways to pick the person to sit between them
And the other members can be arranged in 6! ways = 720 ways
So......the total arrangements =
2 * 7 * 720 =
10080 possible seatings
