
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 gather every weekend for a game night. Every time, three of us set up the games and events, while the remaining three handle cleaning and arranging the food. How many different ways can we choose the groups for setup and others for food and cleaning?

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