Question

Find the Number of ways such that 5 boys and 5 girls sit together such that boys and girls are in alternate positions

Answer 1

The arragement of sitting of 5 Boys and 5 Girls alternatively in a row may start with either a Boy or a Girl. So 2 types of starting are possible.

Type I→BGBGBGBGBG

Typy II→GBGBGBGBGB

In each type 5 Boys and 5 Girls may take their positions in 5! ways. So total number of possible arrangements becomes

=2×5!×5! =28800