
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 school has been expanded to 12 members, of which 5 are teachers. A four-person subcommittee is required such that it includes at least one teacher from the members of the planning committee. How many distinct subcommittees can be formed under this condition?

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