Question

What is the highest possible number of points of intersection of ten straight lines?

Answer 1

Let the lines be A through J

One possible intersection is between A and B
Another intersection could be formed between B and C
and so on...

If there are no parallel lines, then that means you can use the combination formula to determine the answer

http://www.mathwords.com/c/combination_formula.htm

let me know if that helps or not

Answer 2

Any linearly independent line must cross another line assuming they are on the same plane, yes?

Answer 3

and only once, too. So every line must meet each other once...

Answer 4

so if you draw a vertices equaling to the number of lines, and then connecting all vertices until the graph is complete, that should be the maximum number of intersections, i'd think...

Answer 5

`linearly independent line` that phrasing sounds odd?

Answer 6

any two linearly independent lines* i meant, sorry

Answer 7

so you mean they're not parallel or the same line?

Answer 8

yes

Answer 9

ok gotcha

Answer 10

9