
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
Given $n=8$, the numbers 1, 2, 3, 4, 5, 6, 7, 8 are permuted in such a way that the order number of 8 is 2, the order number of 7 is 3, and the order number of 5 is 3. Determine the total number of such permutations.

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