Results 1 to 2 of 2

Math Help - combination problem

  1. #1
    Member
    Joined
    Oct 2009
    Posts
    201

    combination problem

    there are two lines.One lines has 3 points and the other line has 6 points.How many triangles can be constructed by using the points on these two lines?

    please help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2009
    From
    1111
    Posts
    872
    Thanks
    3
    Quote Originally Posted by mastermin346 View Post
    there are two lines.One lines has 3 points and the other line has 6 points.How many triangles can be constructed by using the points on these two lines?

    please help.
    Dear mastermin346,

    We have choose two points from one line and the another point from the other line.

    If we choose the two points from the three point line, number of ways this could be done= ^{3}C_{2}\times~^{6}C_{1}=3\times{6}=18

    If we choose the two points from the six point line, number of traingles that could be constructed= ^{6}C_{2}\times~^{3}C_{1}=15\times{3}=45

    Therefore total number of different traingles that could be constructed= 45+18=63

    Hope this helps you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Combination Problem.
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: May 4th 2010, 03:52 AM
  2. 1 combination problem
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: October 20th 2008, 06:20 AM
  3. Combination Problem
    Posted in the Statistics Forum
    Replies: 4
    Last Post: October 19th 2008, 08:31 AM
  4. Combination Problem... Help Plz
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: July 25th 2008, 07:34 AM
  5. Combination problem
    Posted in the Statistics Forum
    Replies: 4
    Last Post: May 18th 2008, 01:59 PM

Search Tags


/mathhelpforum @mathhelpforum