you can draw one segment to connect two points and three distinct segments to connect three named points. how many segments can you drawto connect five points if no three of the points lie on the same line.........please help me i am confused

Answer 1

A segment is created by joining any two points
So the question comes down to how many pairs of points can I form from 5 points.
This is a combination question
it would be 5choose 2 or C(5,2) = 10

Or

you could set up a pattern

points - lines
2 1
3 3 , an increase of 2
4 6 , an increase of 3
5 10 , and increase of 4 !!!! aha, there is the pattern

6 15 etc