
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
As part of a different prank, Tim decides to rearrange the furniture in Clara's office. He plans this from Monday to Friday with different associates each day to avoid detection. On Monday, he has exactly three colleagues willing to help. On Tuesday, Tim manages alone because no one is willing to assist. On Wednesday, he has access to six different colleagues. On Thursday, he convinces four different people, and on Friday, two friends volunteer. How many different combinations of people could Tim involve in this new prank over the entire week?

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