
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 rearrange Nathan's desk items every day for a week. On Monday, he enlists Sarah to help him. On Tuesday, he can choose between either Mike or Lucy. On Wednesday, he can't convince the previous helpers, but he finds three new classmates willing to assist. On Thursday, those three are unavailable, but he convinces two different classmates to participate. Finally, on Friday, Tim decides to do it himself. How many different combinations of classmates could Tim involve in rearranging the desk items throughout the week?

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