
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 club has 30 members and needs to elect 3 officers: president, secretary, and treasurer. Each person can hold at most one office. Three of the members, Alice, Bob, and Charlie, will only serve as officers if at least two of them are elected as officers. In how many ways can the club elect its officers?

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