The number of ways in which $8$ different pearls can be arranged to form a necklace is

In how many ways can $4$ beads be selected and arranged in a necklace from $6$ distinct beads?

The number of ways in which $5$ male and $2$ female members of a committee can be seated around a round table so that the two female members are not seated together is:

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

The number of ways of arranging $9$ men and $5$ women around a circular table so that no two women come together are

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