Mathematics · Permutations and Combinations
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, and k points on l3. The maximum number of triangles formed with vertices at these points is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1mC3 × nC3 × kC3
- 2mC3 + nC3 + kC3
- 3(m + n + k)C3 – mC3 – nC3 – kC3✓
- 4(m + n + k)C3
Correct answer
(m + n + k)C3 – mC3 – nC3 – kC3
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