
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
Our club has 30 members: 15 boys and 15 girls. In how many ways can we choose a president, a vice-president, and a treasurer, if the president and vice-president must be of the same gender, and the treasurer must be of the opposite gender of the president? Assume no one can hold more than one office.

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