The number of lines and triangles illustrates combination
- 36 lines can be drawn to join the nine points
- 84 triangles can be drawn using the nine points
<h3>The number of lines that can be drawn</h3>
The given parameters are:
Total points, n = 9
Total points on each line, r = 2
The number of lines that can be drawn is then calculated using the following combination formula
Lines = nCr
This gives
Lines = 9C2
Evaluate the combination expression
Lines = 36
Hence, 36 lines can be drawn to join the nine points
<h3>The number of triangles that can be drawn</h3>
The given parameters are:
Total points, n = 9
Total points on each triangle, r = 3
The number of triangles that can be drawn is then calculated using the following combination formula
Triangles = nCr
This gives
Triangles = 9C3
Evaluate the combination expression
Triangles = 84
Hence, 84 triangles can be drawn using the nine points
Read more about combination at:
brainly.com/question/11732255
