The straight lines \( l_{1}, l_{2}, l_{3} \) are parallel and lie i...

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The straight lines \( l_{1}, l_{2}, l_{3} \) are parallel and lie in the same plane. A total number of \( m \) points are taken on \( l_{1}, \mathrm{n} \) points on \( l_{2}, \mathrm{k} \) points on \( l_{3} \). The maximum number of triangles formed with vertices at these points, are
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