grad_mba wrote:

Total number of ways 6 ppl can be arranged in a circle - 5! = 120

A) if a and b are always together - 4! = 24 x 2 = 48 ways

B) if they are separated - 120 -48 = 72 ways.

hi grad_mba

when arranging items in a row , the total ways to arrange them is n!, but when arragning items in a circle the formula becomes (n-1)!.

since we have six people then (6-1)! = 120

now note that two people have to sit together - making then as one, so (5-1)! = 24

I don't understand why you are multiplying the outcome in 2. can you please explain ?

I think that the answer is 24 ways for (A).