
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 school's Art Club consists of 30 members. They need to elect 4 officers: president, secretary, treasurer, and public relations officer. Each person can hold at most one office. There are two conditions: if Andy and Bree are officers, they must both be elected, and if Carlos and Dana are to be officers, they both must be elected too (either both pairs are officers, or neither pair is). In how many ways can the club choose its officers?

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