
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 league, teams now consist of 7 members each and there are 5 teams total. The league continues the tradition where teams take turns hosting tournaments. At each tournament, 3 members from the host team are chosen to be on the tournament committee. Of the remaining teams, three teams select two members to join the committee, and one team selects three members. How many different 9-member tournament committees can be formed?

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