" for of ways of arranging "7" persons around a circle."

Find the number of ways of arranging 7 persons around a circle.

The number of ways of arranging 7 persons around a circle is

The number of ways of arranging 9 persons around a circle if there are two other persons between two particular persons is

The number of ways of arranging 9persons around a circle if there are two other persons between two particular persons is:

Find the number of ways to arrange 8 persons around a circle by taking 4 at a time.

Find the number of ways of arranging 5 boys and 5 girls around a circle.

Find the number of ways of arranging 7 guests and a host around a circle if 2 particular guests wish to sit on either side of the host.