
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, each team played every other team exactly once. Every team won 8 games and lost 12 games; there were no ties. Find the number of sets of three teams $\{A, B, C\}$ in which $A$ beat $B$, $B$ beat $C$, and $C$ beat $A$.
A) 1400
B) 1500
C) 1600
D) 1700
E) 1900

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