
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
Five friends gather every weekend. Each weekend, three of them will cook and the other two will clean up afterwards. How many different ways are there for them to choose who cooks and who cleans?

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