
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
From a group of 12 people, 5 are to be chosen to participate in an activity. However, among three specific individuals A, B, and C, at most two are allowed to be selected. How many different ways are there to choose the 5 people?

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