In how many ways can a garland be made from exactly $10$ flowers?

The number of ways in which $6$ boys and $5$ girls can sit at a round table,if no two girls are to sit together,is

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

Find the number of ways in which two Americans,two British,one Chinese,one Dutch,and one Egyptian can sit at a round table so that persons of the same nationality are separated.

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 $8$ different pearls can be arranged to form a necklace is