Find the number ways of arranging 5 boys and 6 girls around a circular table, such that

(1)no two boys sit together

ANS:

First to arrange 6 girls in round table (6-1)!=120ways

6 place is available in between girls to sit boys and 5 boys available it can be done by 6P5 ways

Total no of ways=6!*6P5=120*120=14400