
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 larger school's math club consists of 10 boys and 12 girls. A team of 8 members is to be selected to attend the national math competition. The team should include exactly 5 boys and 3 girls. How many different ways can the team be formed?

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