The straight lines l1, l2 and l3 are parallel and lie in the same plane. A total number of m points are taken on l1, n points on l2, k points on l3. The maximum number of triangles formed with vertices at these points are(a) m + n + kC3(b) m + n + kC3 – mC3 – nC3 – kC3(c) mC3 + nC3 + kC3(d) mC3 × nC3 × kC3

The straight lines l1, l2 and l3 are parallel and lie in the same plan

1.	The straight lines l1, l2 and l3 are parallel and lie in the same plane. A total number of m points are taken on l1, n points on l2, k points on l3. The maximum number of triangles formed with vertices at these points are(a) m + n + kC3(b) m + n + kC3 – mC3 – nC3 – kC3(c) mC3 + nC3 + kC3(d) mC3 × nC3 × kC3
Answer» The straight lines l₁, l₂ and l₃ are parallel and lie in the same plane. A total number of m points are taken on l₁, n points on l₂, k points on l₃. The maximum number of triangles formed with vertices at these points are (a) ^{m + n + k}C₃ (b) ^{m + n + k}C₃ – ^mC₃ – ⁿC₃ – ^kC₃ (c) ^mC₃ + ⁿC₃ + ^kC₃ (d) ^mC₃ × ⁿC₃ × ^kC₃

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