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 $l_1$,$n$ points on $l_2$,and $k$ points on $l_3$. The maximum number of triangles 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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