The straight lines `I_(1),I_(2),I_(3)` are paralled and lie in the same plane. A total number of m point are taken on `I_(1),n` points on `I_(2)`, k points on `I_(3)`. The maximum number of triangles formed with vertices at these points areA. `.^(m+n+k)C_(3)`B. `.^(m+n+k)C_(3)_.^(m)C_(3)-.^(n)C_(3)-.^(k)C_(3)`C. `.^(m)C_(3)+.^(n)C_(3)+.^(k)C_(3)`D. None of these

The straight lines `I_(1),I_(2),I_(3)` are paralled and lie in the sam

1.	The straight lines `I_(1),I_(2),I_(3)` are paralled and lie in the same plane. A total number of m point are taken on `I_(1),n` points on `I_(2)`, k points on `I_(3)`. The maximum number of triangles formed with vertices at these points areA. `.^(m+n+k)C_(3)`B. `.^(m+n+k)C_(3)_.^(m)C_(3)-.^(n)C_(3)-.^(k)C_(3)`C. `.^(m)C_(3)+.^(n)C_(3)+.^(k)C_(3)`D. None of these
Answer» Correct Answer - B Total points on all three lines`=m+n+k` `therefore`Maximum number of triangles`=.^(m+n+k)C_(3)-.^(m)C_(3)-.^(n)C_(3)-.^(k)C_(3)`

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