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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

  1. A40
  2. B36
  3. C42
  4. 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

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