
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 larger local frisbee association, 6 teams each with 8 members participate in tournaments. Each tournament is hosted by one of the teams, with the host team selecting three members to serve on the tournament committee. Each of the remaining teams selects two members, but additionally, one of these non-host teams (chosen randomly) will select an extra member for promotional activities. How many possible tournament committees are there?

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