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MathNet 2006 — Part 02 Question 196

Math Olympiad Vault · MathNet 2006 — Part 02

Question 196

Seven teams, divided into two groups, participated in my neighborhood's football tournament.
Group 1 was formed by the teams Avaqui, Botágua and Corinense.
Group 2 was formed by the teams Dinosaurs, Esquisitos, Flurinthians and Guaraná.
In the first round of the tournament, each team faced each of the teams in its group exactly once.
In the second round of the tournament, each team faced each of the teams in the other group exactly once.


a) How many matches were played in the first round in group 1?

b) How many matches were played in the first round in group 2?

c) How many matches were played in the second round?