10 distinct points are taken on a circle. Then using these points Statement I: The number of triangles that can be formed is 100 Statement II: The number of chords that can be formed is 45 Which of the following is correct?

Step-by-step solution

Number of points on the circle is 10 . To form a triangle, 3 points are required. Since all points are on a circle, no three points are collinear. Number of triangles = ¹⁰C₃ = 10 9 8 3 2 1 = 120 Statement I is false. To form a chord, 2 points are required. Number of chords = ¹⁰C₂ = 10 9 2 1 = 45 Statement II is true. Answer: Statement I is false and Statement II is true