
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 planning committee at a university has 12 members. Exactly five of these members are professors. A four-person subcommittee with at least two members who are professors must be formed from the members of the planning committee. How many distinct subcommittees are possible?

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