In how many ways can 4 boys and 3 girl be seated in a row of 7 chairs if boys and girls alternate?

1 answer

To seat 4 boys and 3 girls in a row of 7 chairs so that boys and girls alternate, we can consider the boys and girls as separate groups and then arrange them.

First, arrange the 4 boys in the 4 available chairs: 4 boys in 4 chairs can be arranged in 4! = 24 ways.

Next, arrange the 3 girls in the 3 available chairs: 3 girls in 3 chairs can be arranged in 3! = 6 ways.

Since the boys and girls must alternate, the total number of ways to arrange them is 24 * 6 = <<24*6=144>>144 ways.