Most Important Selected Qs for JEE AdvancedMathematicsPermutation and Combination
Paragraph: Consider the following set of points in the x-y plane A= (a, b) a, b I and |a|+|b| 2 . Question: The number of triangles whose vertices are points in A , is:
Options
- A256
- B276
- C286
- D289
Correct answer
A. 256
Step-by-step solution
(i) Number of lines = ¹³ C₂- ^3 C₂ 10-2 ^5 C₂+12=40 (ii) ¹³ C₃-10- ^5 C₃ 2=256