
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

Seven teams, divided into two groups, participated in the soccer tournament in my neighborhood. Group 1 comprised the teams Avaqui, Botágua, and Corinense. Group 2 comprised the teams Dinossauros, Esquisitos, Flurinthians, and Guaraná.

In the first round of the tournament, each team played against each other team in its group exactly once. In the second round of the tournament, each team played against each team 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?

Present the answer in LaTex format: \boxed{Your answer}
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