COMEDK2024MathematicsPermutation and Combination
Out of 10 given point, 3 are collinear. How many different straight line can be drawn by joining any 2 points from those 10 points?
Options
- A40
- B36
- C42
- D43
Correct answer
D. 43
Step-by-step solution
If there are m points in which n points are collinear (m n) then number of different straight line are ^m C₂- ^n C₂+1 ¹⁰ C₂- ^3 C₂+1= 10 9 2 -3+1=45-3+1=43