
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
Given four members of a group—Alice, Bob, Carol, and Dave—in how many ways can three of these be chosen and assigned to three officer positions (president, secretary, and treasurer), with the possibility that one person can hold more than one office?

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