
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
The six-member math team at Willowbrook High is chosen from the math club, which has four girls and seven boys. How many different teams consisting of three girls and three boys could be chosen?

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