In how many ways 5 boys and 6 girls can be seated on 12 fixed chairs around a fixed circular table, so that no boy is seated adjacent to other boy and no girl is seated adjacent to other girl.
I come up with 6*5!*5!
No. of ways the girls can be seated on the round
table with one vacant seat betwn all is (6-1)! = 5!
Now we have 6 vacant seats betn the girls-
select 5 seats out of 6 and arrange the boys=
so the no. of ways = 5!5!*6