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
- A776
- B796
- C751
- D771
Correct answer
C. 751
Step-by-step solution
aligned & ¹⁸ C ₃- ^5 C ₃- ^6 C ₃- ^7 C ₃ & =751 aligned