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JEE Main20244 Apr 2024Morning ShiftMathematicsPermutation and CombinationActual

There are 5 points P₁, P₂, P₃, P₄, P₅ on the side A B , excluding A and B , of a triangle A B C . Similarly there are 6 points P ₆, P ₇, , P ₁₁ on the side BC and 7 points P ₁₂, P ₁₃, , P ₁₈ on the side C A of the triangle. The number of triangles, that can be formed using the points P ₁, P ₂, , P ₁₈ as vertices, is :

Options

  1. A776
  2. B796
  3. C751
  4. D771

Correct answer

C. 751

Step-by-step solution

aligned & ¹⁸ C ₃- ^5 C ₃- ^6 C ₃- ^7 C ₃ & =751 aligned

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