
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
There are 3 colleges intending to enroll 24 students through a comprehensive selection process, requiring that each college enrolls at least one student and the number of students enrolled by each college is different. The number of ways to do this is \_\_\_\_\_\_.

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