## mathmath333 one year ago Counting Problem

1. mathmath333

\large \color{black}{\begin{align} & \normalsize \text{Their are 10 points on Line 1 and 11 points on line 2.}\hspace{.33em}\\~\\ & \normalsize \text{How many lines are possible if the two lines are parallel.}\hspace{.33em}\\~\\ \end{align}}

2. steve816

10*11=110 possible combinations!

3. mathmath333

Iwsimqwerty

4. ytrewqmiswi

|dw:1440196179245:dw|

5. mathmath333

u simply multiplied 10*11

6. ytrewqmiswi

me?

7. mathmath333

no

8. ytrewqmiswi

:)

9. mathmath333

this is given as answer $$\binom{10}{2}*\binom{11}{1}+\binom{10}{1}*\binom{11}{2}$$

10. mathmath333

lol it is greater than imqueryy's answer

11. ytrewqmiswi

:D lemme see it again :)

12. ytrewqmiswi

lol i read that cmnt above drawin nw XD u probably won't get that its me if i wuldn't have set my pfp :D

13. mathmath333

no i ur strange name imqueerty busted u

14. ytrewqmiswi

hahaha :D

15. mathmath333

|dw:1440197305564:dw|

16. ytrewqmiswi

can u think of any other way to connect those points?

17. ytrewqmiswi

i think that the solution is missing - nd it wuld be like ->$\left( \frac{ 10 }{ 2 } \right)\left( \frac{ 11 }{ 1 } \right)+\left( \frac{ 10 }{ 1 } \right)\left( \frac{ 11 }{ 2 } \right)$ :D

18. ytrewqmiswi

@dan815

19. geerky42

I think this question is ambiguous. Two line being parallel to each other is depend on placement of points on Line 1 and Line 2.

20. mathmath333

I think this question is not ambiguous.

21. geerky42

Then that mean the definition of parallel isn't as what I think it is. Either way, I can't help, sorry.

22. mathmath333

|dw:1440198692921:dw|

23. ytrewqmiswi

:) i like ur pfp lol

24. anonymous

that counts the number of triangles formed by those points

25. anonymous

not the number of lines; for that, @ytrewqmiswi is correct

26. mathmath333

ok