
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 five friends and I have a family gathering every month. Each month, three of us prepare the meal while the other three set up the dining area. How many different ways are there for us to choose who cooks and who sets up?

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