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:

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

Five persons $A, B, C, D$ and $E$ are seated in a circular arrangement. If each of them is given a hat of one of the three colours: red,blue,and green,then the number of ways of distributing the hats such that the persons seated in adjacent seats get different coloured hats is:

$8$ teachers and $4$ students are sitting around a circular table at random. Then,the probability that no two students sit together is:

The number of ways of arranging all the letters of the word "$COMBINATIONS$" around a circle so that no two vowels come together is

The number of ways in which $3$ boys and $4$ girls can be seated around a circular table if no two boys sit together is