Question

select the correct answer. if each point in the diagram can act as an endpoint, how many distinct line - segments can be formed using the set of points? a. three b. four c. five d. six

Explanation:

Step1: Use combination formula

The formula for number of line - segments from \(n\) points is \(C(n,2)=\frac{n(n - 1)}{2}\), here \(n = 4\).

Step2: Calculate result

\(\frac{4\times(4 - 1)}{2}=\frac{4\times3}{2}=6\).

Answer:

D. six