Permutation and CombinationHard

Question

The straight lines I1, I2, I3 are parallel and lie in the same plane. A total number of m points are taken on I1; n points on I2, k points on I3. The maximum number of triangles formed with vertices at these points are

Options

A.m + n + kC3
B.m + n + kC3 mC3nC3kC3
C.mC3 + nC3 + kC3   
D.None of these

Solution

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