Find the number of ways in which 6 boys and 6 girls can be seated in a row so that
all the girls are never together.

The number of ways in which 5 ladies and 7 gentlemen can be seated in a round table so that no two ladies sit together is a) (7)/(2)(720)^(2) b) 7(360)^(2) c) 7(720)^(2) d) 720

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

Find the number of arrangements of 6 boys and 5 girls in a row so that no two girls sit together.

Find the number of arrangements of 6 boys and 5 girls in a row so that boys and girls occupy alternate positons

In how many ways 4 boys and 3 girls be seated in a row of 7 chairs if the boys and girls are to be seated alternately and the boys occupy odd places.

There are 20 persons, among whom two are brothers. Find the number of ways in which we can arrange the 20 persons around a round table so that there is exactly one person between the two brothers.