Find the number of different garlands that can be prepared using $5$ different coloured flowers.

$A$ couple can sit with $6$ guests around a circular table. In how many ways can they sit if the couple sits in consecutive seats?

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 $5$ boys and $4$ girls can sit around a circular table such that no two girls sit together is:

$A$ round table conference is to be held amongst $20$ countries. If two particular delegates wish to sit together,then in how many ways can such arrangements be done?

In how many ways can $7$ men and $7$ women be seated around a circular table such that no two women sit together?