
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 12th-grade student wishes to apply for independent admission tests at 3 of 6 universities. However, since two of these universities have overlapping test schedules, the student cannot apply to both of these at the same time. Determine the number of different application methods available to the student.

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