
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 an expanded local frisbee league, there are now 5 teams, with each having 7 members. The teams rotate in hosting the tournaments. At each tournament, the host team selects 4 members to be on the tournament committee, while the other four teams each select two members. How many possible 12 member tournament committees are there?

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