
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
In a design studio at various times during the day, the head designer hands over draft designs to an assistant for detailed drafting, stacking each new draft on top of the pile. When there is an opportunity, the assistant works from the top of the pile. Throughout the day, twelve designs are to be detailed, labeled $1, 2, 3, ..., 11, 12$. The assistant remarks to a colleague while on a break that designs $10$ and $11$ have already been completed but doesn't specify other details. How many possible orderings could there be for the assistant to complete the remaining designs after the break?

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