
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 federation has $4$ schools, each with $6$ members, totaling $24$ members. A committee is to be established for a regional event under the following conditions:

i. Two of the $4$ schools are chosen to co-host the event,
   
ii. Each host school sends $3$ representatives to the committee,

iii. Each of the other two schools sends $1$ representative each.

How many possible ways are there to form the committee?

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