
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
A club has 6 members from each of 4 different schools, giving a total of 24 members. To arrange a presidency meeting, the following conditions must be met:
i. Choose one of the 4 schools to host the meeting,
ii. The host school sends 1 representative to the meeting,
iii. Two of the remaining three schools send 2 representatives each to the meeting.
How many possible ways are there to arrange this meeting?

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