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There are 8 non-parallel lines in a plane.Find the maximum number of points in which these lines can intersect each other.
1. 56
2. 28
3. 32
4. 24

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Correct Answer - Option 2 : 28

 

Maximum number of intersection points = Number of times when two line meet each other

⇒ Maximum number of intersection points = 8C2 = 8!/ (6! × 2!) = (8 × 7)/2 = 28

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