Answer:
Total number of lines formed by 6 points will be 15.
Step-by-step explanation:
Number of lines determined by 2 points = 1
There is a condition that only 2 points lie on a line.
Total number of points on a plane = 6
We have to calculate the number of lines formed by the pairs of these 6 points.
It's a question of combinations.
Number of combinations formed = [tex]^{6}C_{2}[/tex]
= [tex]\frac{6!}{(6-2)!2!}[/tex]
= [tex]\frac{6\times 5\times 4!}{4!\times 2!}[/tex]
= [tex]\frac{30}{2\times 1}[/tex]
= 15
Therefore, total number of lines formed by 6 points will be 15.
