Triangle Formation Points

In ΔABC there are 18 points, on side AB there are P₁ , P₂ , P₃, P₄, P₅ points, on BC there are P₆, P₁ ….P₁₁ points and CA P₁₂ …. P₁₈ points. By joining any three points from P₁ , P₂ ….P₁₈ form a triangle. Then number of triangles possible are

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