
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 company's executive board has 30 members. The board needs to elect 4 officers: president, vice-president, secretary, and treasurer. Each person can hold at most one position. Two of the members, Alice and Bob, will only be officers if the other is also an officer. Additionally, two other members, Chris and Dana, have the same condition as Alice and Bob. In how many ways can the board choose its officers?

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