
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
Twelve distinct points are placed on the circumference of a circle in such a way that no three points are collinear. How many different triangles can be formed if each vertex of the triangle must be one of these 12 points?

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