
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 student wants to apply to a university and must choose 5 different majors from 8 available, listing them in order of preference (first choice, second choice, ..., fifth choice). If Major A cannot be listed as the first or second choice, how many different ways can the student fill out the application? (Answer with a number only)

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