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

Circle=(n-1)!

Answer 2

lol, love their topic of discussion :D

Answer 3

The people who want to sit together will be counted as one.

Answer 4

@sagarrobo What do you formulate by my discussion above ?

Answer 5

u want to say that 3 want to sit together the there will be a group of 4ie
(4-1)!=3!=6

Answer 6

Your'e correct.

Answer 7

is it includes noth clockwise and anticlockwise arrangements

Answer 8

Do not confuse your self.

Answer 9

but answer is not six

Answer 10

What is the answer then ?

Answer 11

that is what i dont know
i want to say that 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
so,there will be case that andy and candysit next to each othe r
how many such cases are there?

Answer 12

@sagarrobo If you don't know the answer then how can you say i am wrong.

Answer 13

i just want to ask to look into one case that happens in 6 ways of siitings
ie andy and candysit next to each other