
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, for a total of $24$ members. The club is organizing a presidency meeting under the following conditions:

i. One of the $4$ schools is to be chosen as the host for the meeting.
ii. The host school sends $3$ representatives to the meeting.
iii. Each of the other schools sends $2$ representatives to the meeting, but one of them must be a senior student.

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