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Math Help - Venn Diagram Problem

  1. #1
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    Aug 2011
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    Venn Diagram Problem

    Hi Everyone,
    Sorry if this is in the wrong place, I'm not very techno-savvy.
    Basically I have a small question in some maths work that has absolutely stumped me:

    "A survey of 80 ICT users established that:
    all of them used at least one of Word, Excel and Access.
    10 used all three packages,
    34 used Word and Access,
    25 used Word and Excel,
    59 used Word, 35 used Excel, 52 used Access.
    Using a Venn diagram, or otherwise, calculate the number of ICT users in the survey who:
    used Word and Access but not Excel;
    used Word and Excel but not Access;
    used only Word;
    used only Excel;
    used only Access;
    used Word or Access."

    Every single time I create the Venn Diagram, I end up with a total of 77 people. As it says everyone uses at least one of the packages so this can't be right.

    Any help is much appreciated!
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Russia
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    re: Venn Diagram Problem

    Quote Originally Posted by essexgirl123 View Post
    Hi Everyone,
    Sorry if this is in the wrong place, I'm not very techno-savvy.
    Basically I have a small question in some maths work that has absolutely stumped me:

    "A survey of 80 ICT users established that:
    all of them used at least one of Word, Excel and Access.
    10 used all three packages,
    34 used Word and Access,
    25 used Word and Excel,
    59 used Word, 35 used Excel, 52 used Access.
    Using a Venn diagram, or otherwise, calculate the number of ICT users in the survey who:
    used Word and Access but not Excel;
    used Word and Excel but not Access;
    used only Word;
    used only Excel;
    used only Access;
    used Word or Access."

    Every single time I create the Venn Diagram, I end up with a total of 77 people. As it says everyone uses at least one of the packages so this can't be right.

    Any help is much appreciated!
    Use the second formula here,

    Inclusion
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  3. #3
    Newbie
    Joined
    Aug 2011
    Posts
    2

    re: Venn Diagram Problem

    Hello there, thank you for your quick response!
    I am using the sleeve principle but still coming up with 77 :-( I'm only in my first year of Sixth Form so I have only briefly studied this and am finding it extremely frustrating! I don't understand where I'm going wrong, do you think the question is incorrect?
    Thanks again.
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