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The straight lines l1, ,l2 & l3, are...

The straight lines `l_1, ,l_2 & l_3`, are parallel & lie in the same plane. A total of m points are taken on the line `l_1`, n points on `l_2, & k` points on `l_3`. How many maximum number of triangles are there whose vertices are at these points ?

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The correct Answer is:
`""^(m + n + k)C_(3) -( ""^(3)C_(3) + ""^(n)C_(3) + ""^(k)C_(3))`
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