The number of ways in which $3$ boys and $4$ girls can be seated around a circular table if no two boys sit together is

If $3$ sisters and $8$ brothers are together playing a game,then the number of ways in which all the sisters and brothers are to be seated around a circle such that all the $3$ sisters are not seated together is

In how many ways can $5$ boys and $5$ girls be seated around a circular table such that no two girls are together?

The number of ways in which $5$ boys and $3$ girls can be seated on a round table if a particular boy $B_1$ and a particular girl $G_1$ never sit adjacent to each other is:

In how many ways can $5$ keys be arranged in a ring?

Five boys and five girls are to be seated around a circular table. The number of ways in which they can be seated such that no two boys and no two girls are together is: