Question

1. Given four points on a circle, how many different line segments connecting these points do you think could be drawn? Explain your answer.

Answer 1

6 different line segments

Explanation:

Given four points on a circle, the number of different line segments connecting these points can be calculated using combination ( selecting things without considering the order in which the things are selected.

since only two points can be connected at once then the combination =

⁴C₂ =
`(4!)/(2! (4-2)!)` = 4 × 3 / 2 = 6 different line segments