
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 chess club, there are 5 teams each with 6 members. Teams rotate hosting monthly meetings. At each meeting, each team selects three members to be on the organizing committee, except the host team, which selects four members. Calculate the number of possible 16-member organizing committees.

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