KöMaL 2011 K283

In a competition, participants form teams of six students. The composition of the teams is required to meet two conditions: 1. Every team should contain at least two girls and at least two boys. 2. Every team should contain at least two seventh-grade students and at least two eighth-grade students. A group of friends consists of three seventh-grade girls, four eighth-grade boys and two eighth-grade girls. In how many different ways may they enter a team in the competition?