Different schedules

Six soccer teams are competing in a tournament in Waterloo. Every team is to play three games, each against a different team. (Note that not every pair of teams plays a game together.) Judene is in charge of pairing up the teams to create a schedule of games that will be played. Ignoring the order and times of the games, how many different schedules are possible?

\(\text{(A)} 90 \qquad\text{(B)} 100 \qquad\text{(C)} 80 \qquad\text{(D)} 60 \qquad\text{(E)} 70\)