I have 16 total teams in a competition. In this competition, each team will play every other team (15 teams) once and only once. In each match in this competition, there are 4 teams (ie. A vs. B vs. C vs. D).

I know there should be a total of 20 matches in this competition. In each match, a team plays against 3 different opponents - so a team needs a total of 5 matches to play all 15 opponents. This is essentially the same as having 5 "rounds" in the competition. With 16 teams, each round will have 4 matches (4 teams per match x 4 matches = 16 teams involved).

What are the 20 different combos here of match-ups where no team plays another team more than once?

Also, if I have 25 teams where each match has 5 teams per match, what would the matchups be? I know that with 25 teams, I would have 30 total matches (6 rounds x 5 matches per round).


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.