
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 regional conference involves 4 schools, each having 5 members. To conduct a special presidency meeting, the following conditions must be met:

i. Select one school as the host, which will then send 3 representatives.
ii. Each of the remaining three schools sends 1 representative.

How many different ways can the representatives be chosen for the presidency meeting?

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