The number of ways in which $6$ men and $5$ women can sit at a round table,if no two women 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

$n$ gentlemen can be made to sit on a round table in how many ways?

$A$ family consisting of a mother,father,and their $8$ children ($4$ boys and $4$ girls) are to be seated at a round table in a party. How many ways can this be done if the mother and father sit together and the males and females alternate?

The number of ways in which $5$ boys and $4$ girls can sit around a circular table such that no two girls sit together is:

The number of ways in which $5$ boys and $4$ girls can sit around a circular table such that no two girls sit together is: