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AP EAMCET20225 Jul 2022Morning ShiftMathematicsPermutation and CombinationActual

There are 10 points in a plane, out of these 6 are collinear. If N is the total number of triangles formed by joining these points, then N=

Options

  1. A120
  2. B850
  3. C100
  4. D150

Correct answer

C. 100

Step-by-step solution

If all 10 points are collinear, then number of triangles formed ¹⁰ C₃= 10 ! 3 ! 7 ! = 10 9 8 3 2 =120 Triangles formed using 6 collinear points ^6 C₃=20 Therefore, required number of triangles 120-20=100

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