
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 and a 2-person committee be chosen from a group of 10 people, if only people over 30 years old can be elected to the committee and there are 6 people over 30 in the group? (The president cannot be on the committee.)

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