
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
A team of five friends undergoes a weekly cleaning session. Each week, a group of three is chosen for dusting, while the remaining two handle washing the dishes. How many different ways are there to select the group for dusting?

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