
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]


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To implement the fundamental task of cultivating morality and nurturing talents, and to practice the simultaneous development of the five aspects of students, a certain school offers three moral education courses, $A$, $B$, and $C$. Now, five students, named A, B, C, D, and E, have signed up for the school-based courses. Each student only signs up for one course, and each course must have at least one student enrolled. The number of different registration methods is ______.

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