
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
Ten points are chosen on a circle, and chords are drawn connecting every pair of these points. No three chords intersect at a single point inside the circle. Determine the number of triangles, with vertices that are intersection points of the chords inside the circle, that can be formed.

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