
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
Tim decides to play a prank by having different people steal Nathan's fork each day of the work week without repeating any accomplice. On Monday, he convinces Joe to do it. On Tuesday, he now has three possible people (Ambie, John, or Liz) whom he could convince. On Wednesday, there are still five other people he hasn't approached yet. On Thursday, instead of four, now six new individuals are willing to participate. On Friday, Tim is considering either doing it himself or convincing his friend Sam, who hasn’t been involved yet. How many different combinations of people could Tim involve in the prank throughout the week?

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