There are 10 points in the plane, of which 5 points are collinear and no three among the remaining are collinear. Then the number of distinct straight lines that can be formed out of these 10 points…
Question and options
There are 10 points in the plane, of which 5 points are collinear and no three among the remaining are collinear. Then the number of distinct straight lines that can be formed out of these 10 points is
- 10
- 25
- 35
- 36
Answer and explanation
Correct answer: D - 36
C(10,2) - C(5,2) + 1 = 45 - 10 + 1 = 36 (the 5 collinear points give one line instead of 10).
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