
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
In how many ways can a president, a 2-person committee, and a secretary be chosen from a group of 10 people, where the order of the committee members does not matter and the president and the secretary cannot be on the committee?

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