
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 school now has 10 boys and 12 girls in the math club. We still need to select a team to send to the state math competition, increasing the team size to 8. The team must consist of exactly 4 boys and 4 girls. How many ways can I select such a team?

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