
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 senior high school student plans to register for the independent admission exams of 4 out of 7 universities, among which only universities A and B have the same exam schedule, so the student cannot apply for both at the same time. Determine the number of different application methods the student has.

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