
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
An astronomy club has 25 members and it needs to select 3 officers: president, secretary, and treasurer.  Each person can hold at most one office.  Two of the members, Alice and Bob, will only serve together or not at all.  In how many ways can the club choose its officers?

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