Results 1 to 5 of 5

Math Help - Problem on Set... how some of the number of students be distributed on venn diagram..

  1. #1
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2

    Problem on Set... how some of the number of students be distributed on venn diagram..

    Problem:
    In a class of 40 students, 17 have ridden an airplane, 28 have ridden a boat. 10 have ridden a train, 12 have ridden both an airplane and a boat. 3 have ridden a train only and 4 have ridden an airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three.

    Let Sets: A = airplane, B= Boat, T = train

    I understand some of the number of students to be on the parts of the circles intersecting... there is a little bit confusing on the example given and the solution also... i tried to fix it on (A intersection B )

    in the (A intersection B) = the number of students has ridden A and B...
    my problem is how it was being separated in to 8 and 4... i could not get the rationale over that part...
    thanks for your help mathematicians..

    Attached Thumbnails Attached Thumbnails Problem on Set... how some of the number of students be distributed on venn diagram..-abt2.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2009
    Posts
    660
    Thanks
    133

    Re: Problem on Set... how some of the number of students be distributed on venn diagr

    The number covered by A and B will be 17+28 - 12 = 33. (Minus 12 since it's included twice in the 17 and the 28.)
    The number covered by A, B and T will be 33 + 3 = 36, leaving 4 outside A, B and T.
    Easy from there.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2

    Re: Problem on Set... how some of the number of students be distributed on venn diagr

    Not too logical... But it s ok
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jun 2009
    Posts
    660
    Thanks
    133

    Re: Problem on Set... how some of the number of students be distributed on venn diagr

    Looks logical to me, and let me know if you happen to find something easier.

    Once you know that there are 4 outside A, B and T you know that there are 4 in the common intersection of A, B and T, (which is what you asking).
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    826
    Thanks
    209

    Re: Problem on Set... how some of the number of students be distributed on venn diagr

    Problem on Set... how some of the number of students be distributed on venn diagram..-venn-diagram.pngProblem on Set... how some of the number of students be distributed on venn diagram..-06-jul-13.png
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Venn Diagram Problem
    Posted in the Advanced Math Topics Forum
    Replies: 2
    Last Post: August 4th 2011, 11:26 AM
  2. [SOLVED] Venn Diagram Problem
    Posted in the Statistics Forum
    Replies: 5
    Last Post: August 3rd 2011, 07:17 AM
  3. Venn Diagram Problem
    Posted in the Statistics Forum
    Replies: 1
    Last Post: April 30th 2010, 11:19 AM
  4. Venn Diagram Problem
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: October 17th 2009, 04:33 AM
  5. Venn Diagram Problem
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: October 19th 2007, 10:42 AM

Search Tags


/mathhelpforum @mathhelpforum