Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
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

  1. A143
  2. B144
  3. C153
  4. DNone of these

Correct answer

B. 144

Step-by-step solution

The number of straight lines = ¹⁸ C₂- ( ^5 C₂-1 )=144

Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list All Manipal MET PYQs