Math Problem

[vcuber13]

I did this math contest and the answers are now posted and this one question I can't figure out, and I was hoping someone here could help me.

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?

The answer is:

Spoiler:

The answer is 70.

My thoughts:

Spoiler:

Whenever I tried I was getting either 120 or 60, but I think I was going about it wrong.

What I was doing was since there was 6 teams and 3 games each.