Question Detail
Question
There are 10 non-collinear points in a plane. By joining them how many triangles can be made?
Correct Answer
Option C is the correct answer.
Detailed Explanation
A triangle is formed by connecting any three distinct non-collinear points.Since all 10 points are non-collinear, any selection of 3 points will form a triangle.The order in which the three points are chosen does not affect the triangle formed (e.g., ABC is the same triangle as BCA).Therefore, this is a combination problem.Number of triangles = 10C3.10C3 = (10 × 9 × 8) / (3 × 2 × 1) = 10 × 3 × 4 = 120.
Hint
A triangle requires three distinct points. Since the points are non-collinear and the order of selection doesn't matter, it's a direct combination problem.