Manipal MET2010MathematicsPermutation and Combination
Out of 18 points in a plane no three are in the same straight line except five points which are collinear. The number of straight lines that can be formed joining them, is
Options
- A143
- B144
- C153
- DNone of these
Correct answer
B. 144
Step-by-step solution
The number of straight lines = ¹⁸ C₂- ( ^5 C₂-1 )=144