
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 a joke, Tim decides to hide Nathan's notebook during a week of school. On Monday, he convinces Sara to do it. On Tuesday, he could get either Mia or Liam to do it. On Wednesday, he can't convince any of those three people to do it, but there are six other people he could convince to do it. On Thursday, none of those six will do it, nor the first three, but there are three others who are willing. Finally, on Friday, Tim does it himself. How many different combinations of people could Tim involve in this prank?

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