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The straight lines , l1,l2 and l3 are pa...

The straight lines , `l_1,l_2 and l_3` are parallel and lie in the same plane . A total number of m points are taken on l : n points on `l_2` k points on `l_3` The maximum number of triangle formed with vertices at these points is :

A

`""^(m+n+k)C_3`

B

`""^(m+n+k)C_3-""^mC_3-""^nC_3-""^kC_3`

C

`""^mC_3+""^nC_3+""^kC_3`

D

None of these

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The correct Answer is:
B
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