Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2019 · Mathematics · Permutation and Combination

There are 10 points in a plane. No three of these points are in a...

There are 10 points in a plane. No three of these points are in a straight line. What is the total number of straight lines which can be formed by joining the points?

Options

  1. A90
  2. B45
  3. C40
  4. D30

Correct answer

B. 45

Step-by-step solution

A straight line can be formed by joining 2 points. ∴\therefore Total number of straight lines =10C2=10×92×1=45={ }^{10} \mathrm{C}_2=\frac{10 \times 9}{2 \times 1}=45
Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list Permutation and Combination JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs