
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 placed on the circumference of a circle. Chords are drawn connecting every pair of points, with the condition that no three chords intersect at the same point inside the circle. Determine the number of triangles that can be formed where all vertices lie at the intersections of these chords within the circle.

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