how many ways can you arrange 5 boys and 5 girls in a row such that no two girls are adjacent to each other?
the boys are :A B C D E
the girls are :F G H I J
Step 1 : Arrange 5 boys total 5! = 120 ways ,For example : _ A _ B _ C _ D _ E _Step 2 : Insert 5 girls to any 5 from 6 positions ' _ ' , total 6P5 = 720 ways , for example F A _ B G C H D I E JThe answer is 120 * 720 = 86400 ways.