Answer to Question #18299 in Combinatorics | Number Theory for akbar

Question

6 friends (Andy, Bandy, Candy, Dandy, Endy and Fandy) are out to dinner. They will be seated in a circular table (with 6 seats). Andy and Bandy want to sit next to each other to talk about the Addition Principle, Bandy and Candy want to sit next to each other to talk about the Principle of Inclusion and Exclusion. How many ways are there to seat them?
Clarification: Rotations are counted as the same seating arrangements, reflections are counted as different seating arrangements.