Talk:2013 AMC 10A Problems/Problem 8

Can anyone explain why the answer is 15???? I thought that since there are ten 2 person teams possible, there must have been five people total. (5 choose 2= 10) So, since the people could be in multiple committees, the number of 3 person teams would be 5 choose 3 = 10??

Invalid username
Login to AoPS