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Find the no of lines that can be formed from 16 points if there are 16 points in a plane out of which 7 are collinear?
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Find the no of lines that can be formed from 16 points if there are 16...



Number of Lines Formed from 16 Points

Given Data:
- Total points in the plane = 16
- Collinear points = 7

Explanation:
- The number of lines that can be formed from n points is given by the formula: nC2 = n(n-1)/2
- For 16 points, the number of lines that can be formed = 16C2 = 16(16-1)/2 = 120
- However, out of these 16 points, 7 are collinear, meaning they lie on the same line.
- When 3 points lie on the same line, they form only 1 line (not 3 lines).
- Therefore, we need to subtract the lines formed by collinear points.
- The number of lines formed by 7 collinear points = 7C2 = 7(7-1)/2 = 21
- Subtracting this from the total lines gives us the number of lines formed by non-collinear points.
- Number of lines formed by non-collinear points = Total lines - Lines formed by collinear points = 120 - 21 = 99

Conclusion:
- The total number of lines that can be formed from 16 points, out of which 7 are collinear, is 99.
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Find the no of lines that can be formed from 16 points if there are 16 points in a plane out of which 7 are collinear?
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