
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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During a college recruitment interview session, four colleges A, B, C, and D each want to recruit exactly one student from six candidates. If candidates A and B cannot be admitted by College A, and each candidate can only be admitted by one college or not admitted at all, then the total number of different admission methods is $\boxed{\text{number}}$ (answer in digits).

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