A community for students.
Here's the question you clicked on:
 0 viewing
mathmath333
 one year ago
Find the number of triangles formed by the Red dots ?
mathmath333
 one year ago
Find the number of triangles formed by the Red dots ?

This Question is Closed

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442388135196:dw

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \color{black}{\begin{align} & \normalsize \text{Find the number of triangles formed by the }\hspace{.33em}\\~\\ & \normalsize \color{red}{Red}\ \text{dots ? }\hspace{.33em}\\~\\ \end{align}}\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1is this correct \(\Large {\dbinom{5}{1}*\dbinom{6}{2}+\dbinom{6}{1}*\dbinom{5}{2} \\ +\dbinom{3}{2}*\dbinom{6}{1}+\dbinom{6}{2}*\dbinom{3}{1} \\ +\dbinom{3}{1}*\dbinom{5}{2}+\dbinom{5}{1}*\dbinom{3}{2} =243}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4\(3+5+6 = 14\) number of triangles = \(\dbinom{14}{3}  \dbinom{3}{3} \dbinom{5}{3}\dbinom{6}{3}\)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2I would like to see all the lines drawn out please? Thank you very much. :P (jk)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i didnt understand what u did

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4how many red dots are there ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4how many dots make one triangle ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4so, at first we might think that total possible triangles is \(\dbinom{14}{3}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4but immediately we see that not all of them are proper triangles

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4there will be some "red dot groups" that don't make a triangle what are they ?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2Oh Im slowly seeing it now. Keep going!

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1yea the answer was 333

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2OH I GET IT NOW HAHA

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4maybe try explaining it to Jhanny and us so that you understand it more...

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\({\dbinom{5}{1}*\dbinom{6}{2}+\dbinom{6}{1}*\dbinom{5}{2} \\ +\dbinom{3}{2}*\dbinom{6}{1}+\dbinom{6}{2}*\dbinom{3}{1} \\ +\dbinom{3}{1}*\dbinom{5}{2}+\dbinom{5}{1}*\dbinom{3}{2} =243}\) what was the fault in this method

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1I hope jhannybean has no doubt ?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2The 3, 5 , 6 correspond to the red dots per side, they = 14. But since each side with a specific amount of red dots that dont create a triangle, we subtract the possibilities of each side from the ones that do.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Exactly! thats very well put!

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1yea she said "OH I GET IT NOW HAHA" she has not doubt .

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2Haha, Im a litle slow.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4could you explain ur method

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1to make triangle we need 1 red dot from one line and 2 red dots from other lines vice versa. count all 3 lines as such +vice versa

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Looks you forgot to count the case : 1 red dot from each line

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1but i forgot the the case 1 dot from all 3 lines i got my mistake

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442389517882:dw

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1profile pictures dont support gif images

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1by the way what is 'kewl'
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.