COMEDK · Maths · 4. Permutation Combination
Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from those 8 points?
- A 26
- B 28
- C 27
- D 25
Answer & Solution
Correct Answer
(A) 26
Step-by-step Solution
Detailed explanation
The total number of ways to select 2 points out of 8 points is given by \(^{8}C_{2}\). \(^{8}C_{2} = \dfrac{8 \times 7}{2 \times 1} = 28\). Since 3 points are collinear, joining any two of these 3 points results in the same line. The number of lines formed by these 3 points is…
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