NDA 2021 Mathematics question
Suppose 20 distinct points are placed randomly on a circle. Which of the following statements is/are correct? 1. The number of straight lines that can be drawn by joining any two of these points is 380. 2. The number of triangles that can be drawn by joining any three of these points is 1140. Select the correct answer using the code given below.
Answer: (B)
Solution
No three points on a circle are collinear. Statement 1: a line is fixed by choosing 2 points, and the order does not matter, so the number of lines is , not 380 (380 is ,
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