
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
Captain Zarnin of Planet Hvan now has five job openings for his battle station: Assistant Engineer, Weapons Maintenance 1, Weapons Maintenance 2, Field Technician, and Radio Specialist. Due to advancements in technology, qualification requirements have been updated. Of the 30 applicants, Captain Zarnin finds 15 resumes suitable. Each applicant can only fit certain positions based on the following qualification:
- 3 applicants can fill the Assistant Engineer,
- 4 applicants are qualified for Weapons Maintenance 1,
- 4 different applicants can take Weapons Maintenance 2,
- 5 applicants can operate as Field Technicians,
- 5 unique applicants can serve as Radio Specialists.

In how many ways can Captain Zarnin staff his battle station given that each candidate may only fill one role?

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