
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 chess tournament, Westdale Middle School competes against Eastwood Middle School. Each school has four players, and the rules require that each player plays three games against each player from the opposing school. The event is organized in several rounds, with three games played simultaneously in each round. Calculate the total number of distinct ways the tournament can be scheduled.
A) \( 865,940  \)
B) \( \frac{16!}{2!} \)
C) \( \frac{16!}{3!} \)
D) \( \frac{16!}{4!} \)
E) \( 20,922,789,888,000 \)

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