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:

$21$ friends were invited for a party. Two round tables can accommodate $12$ and $9$ friends respectively. The number of ways of the seating arrangements of friends is:

In how many ways can $12$ gentlemen sit around a round table so that three specified gentlemen are always together?

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

If $n$ persons are seated around a circular table,what is the ratio of the unfavorable probability to the favorable probability that two specific persons sit together?

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