Question

given three distinct points in a plane, how many lines can be drawn by joining them?

Answer 1

"From the given points, we can draw three(3) lines.

Given:

In a plane, there are 3 distinct points.

To find:

The number of lines that can be drawn.

Solution:

If the given points in the plane are co-linear then only one possibility of 1 line can be drawn.

If the given points in the plane are not co-linear, we can determine the lines from the below given steps,

To draw a line, we need atleast two points.

So,

Choosing two points from the given Three points: $^{3} C^{2}=2$(The 3 in the power represents the given three points and the 2 in the power represents the chosen two points)

Therefore, the number of lines that could be drawn: $^{3} \mathrm{C}^{2}=3.$"