Q.

5 boys and 3 girls are to be arranged around a circular table such that B1 and G1 do not sit together.

What I did was

Total ways to arrange - Total ways in which B1 and G1 are together.

i.e. 7!-6!(2!)

But the answer is 5!*6!.

What am I doing wrong?

Rule for Circular Permutations -

(n - 1)! = Clockwise + Anticlockwise arrangement.

Ex. Seating arrangement of persons round a table. 

- wherein

DISTINCT arrangement.

 Number of ways = Total - when B1 and G1 sit together 

Total ways to seat 8 people on table = 7!

When B1 and G1 sit together 

Number of ways