
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 light-hearted prank, Alice decides to rearrange Bob's desk items at work but wants others to assist without being detected. On Monday, she persuades Paul to do it. On Tuesday, she has a choice of persuading either Ken, Linda, or Jack. On Wednesday, there are five new colleagues willing to assist. On Thursday, none from the previous days will participate but four new teammates are ready to help. On Friday, Alice decides to do the final touch herself. How many different combinations of people could Alice involve over the week in rearranging Bob’s desk items?

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