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AP EAMCET202124 Aug 2021Evening ShiftMathematicsPermutation and CombinationActual

There are 10 points on the line A B excluding A and B and 8 points on A C excluding A and C . Number of triangles formed with these points not considering A, B and C is

Options

  1. A¹⁸ C₃- ¹⁰ C₃
  2. B360
  3. C640
  4. D280

Correct answer

C. 640

Step-by-step solution

There are 10 point on A B and 8 point on A C . Total number of triangle formed is aligned & ¹⁸ C₃- ¹⁰ C₃- ^8 C₃ & =816-120-56=640 aligned

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