
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 Chess Club at a high school has 25 members and needs to select 3 officers: president, treasurer, and secretary. Each member may hold at most one position. Two members, Alice and Bob, will only accept the positions if both are chosen as officers. Another member, Charlie, will only agree to be an officer if Alice is not chosen. In how many ways can the club select its officers?

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