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AP EAMCET2014MathematicsPermutation and Combination

Out of thirty points in a plane, eight of them are collinear. The number of straight lines that can be formed by joining these points, is

Options

  1. A296
  2. B540
  3. C408
  4. D348

Correct answer

C. 408

Step-by-step solution

Total number of points in a plane is 30 . Out of them, 8 points are collinear. Total number of straight lines formed aligned & = ³⁰ C₂- ^8 C₂+1 & = 30 29 2 - 8 7 2 1 +1 & =435-28+1=408 aligned

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