In how many ways can 6 boys and 5 girls be arranged for a group photograph if the girls arw to sit on chairs in row and the boys are to stand in row ,behund them?

Answer 1

In this case, the girls' arrangement will determine the number of possible arrangements for the boys, as their arrangement will be relative to the girls' arrangement.

There are 5 girls, so they can be arranged in 5! = 5 x 4 x 3 x 2 x 1 = 120 different ways.

Now, for each of these 120 arrangements of girls, there are 6 boys who can stand behind them. The boys can be arranged in 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 different ways.

Therefore, the total number of arrangements for the group photograph is 120 x 720 = <<120*720=86400>>86,400 ways.