
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 local basketball league, teams have 8 members and each of the 5 teams takes turns hosting events. At each event, each team selects three members of that team to be on the event committee, except the host team, which selects four members. How many possible 13 member event committees are there?

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