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
- A120
- B850
- C100
- 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