There are \( \mathrm{m} \) points on a straight line \( \mathrm{AB}...

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There are \( \mathrm{m} \) points on a straight line \( \mathrm{AB} \) and \( \mathrm{n} \) points on another line \( \mathrm{AC} \), none of them being the point \( \mathrm{A} \). Triangles are formed these points as vertices when (i) \( \mathrm{A} \) is excluded (ii) \( \mathrm{A} \) is included. Then the ratio of the number of triangles in the two cases is
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