How many different teams of 5 can be chosen from a group of 12 adults and 17 children if each team must have at least two adults on it?

5 teams, because say you put 2 adults on a team and you keep doing that until you run out of the 12 adults that would give you six teams but when you divide all the children on to teams only 5 teams have two adults and three children and the sixth team has only two adults and two children which gives you 5 complete teams.