
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
Determine how many prime divisors the number \(17! - 15!\) has (here \(n! = 1 \cdot 2 \cdots n\) is the factorial of \(n\), i.e., the product of all natural numbers from 1 to \(n\) inclusive).

a) 6;

b) 7;

c) 8;

d) None of the above.

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