
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
The office workflow remains similar with letters being added on top of a stack in the secretary's in-box in numerical order: $1, 2, 3, 4, 5, 6, 7, 8, 9, 10$. During lunch, the secretary informs a colleague that letter $9$ has already been typed. After lunch, considering no information about other letters, how many possible orders could remaining letters be typed?

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