The number of circular permutations of $n$ different objects is

In how many ways can a garland be made from exactly $10$ flowers?

In how many ways can $6$ men and $5$ women be seated around a circular table if no two women are to be seated together?

$A$ person invites $8$ guests to a dinner and places $5$ of them at one table and the remaining $3$ at another,both the tables being round. The number of ways in which the guests can be arranged is

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

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