
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 meeting, a manager distributes tasks labeled from $1$ to $10$ to an assistant, stacking them in a tray in the order $1, 2, 3, ..., 10$. When the assistant finds time, they process a task from the top of the stack. By midday, tasks $9$ and $10$ have been completed. The assistant informs another colleague that tasks $9$ and $10$ are done but does not specify which other tasks, if any, have been completed. Determine how many different sequences of task completions could still occur after lunch, assuming no tasks are left unprocessed.

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