
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
My four friends and I meet up for a meal every week. Each week, three of us will cook and the other two will do the cleaning. How many different ways are there for us to choose who cooks and who cleans?

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