
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
In a round-robin tournament, every team played each other exactly once with no ties. Each team won 12 games and lost 8 games, how many sets of three teams $\{A, B, C\}$ were there such that $A$ beat $B$, $B$ beat $C$, and $C$ beat $A$?
A) 330
B) 665
C) 1330
D) 1140
E) 945

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