Question

Combinations....

Five lines are drawn on a piece of paper, no two of them are parallel, and not more than two lines intersecting a point. How many points of intersections are there?

Answer 1

4+3+2+1? maybe

Answer 2

10

Answer 3

am i right?

Answer 4

can u make the lines here?

Answer 5

hmm i wish but im not that tech savvy.i can try and explain tho.
If u have two lines that are not parallel or the same then they will intersect at 1 unique point. Now u have five lines that are not parallel with each other and they each have their own unique intersection.
so take the 1st line. it has to intersect with the other 4 lines. the next line also intersects with 4 lines but we already counted 1 of the intersection before when it intersected with the 1st line. so thats 3 new intersections. the next line has 2 new intersections and the 4th line has 1 new intersection and the 5th has no new intersection thus:
4+3+2+1
which equals 10

Answer 6

i agree

Answer 7

cool! how 'bout i change the line is that okay?

Answer 8

what do u mean?

Answer 9

u can change the lines anyway u want as long as u follow the rules that they arenot parallel and they dont share intersections

Answer 10

okay thank you..very much!

Answer 11

ur welcome