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

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

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

If $20$ beads of two different colors are to be arranged in a necklace such that they alternate,and there are $10$ beads of each color,then what is the number of ways to arrange them?

The number of ways that $8$ beads of different colours can be strung as a necklace is

If seven women and seven men are to be seated around a circular table such that there is a man on either side of every woman,then the number of seating arrangements is