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.

Answer 1

please help

Answer 2

we seat Bandy first. We choose the people seated next to Bandy (Andy and Candy), and there are 2! ways to do that. The remaining seats may be occupied in any order by the others (Candy, Endy and Fandy) so that's 3! for the three.
By multiplication principle, the number of ways is 2! x 3! = 12