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Math Help - set theory

  1. #1
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    set theory

    please can some1 help me wiv this question

    in a set of 30 people, 21 prefer tea, 9 prefer coffee and 16 have sugar in their tea

    if P = {people who prefer tea}
    Q = {people who prefer coffee}
    R = {people who take sugar}

    calculate
    (i) [P]
    (ii) [R]

    heres another similar question i am having problems with

    in a set of 35 people, 23 are wearing hats, 25 are wearing gloves and 30 are wearing either hats or gloves.

    how many people are wearing:

    (i) both hat and gloves
    (ii) neither hat or gloves

    i know these questions have something to do with set theory and Venn diagrams please would you be able to explain how you found the answers thanks.
    Last edited by red55; May 18th 2007 at 04:43 PM.
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  2. #2
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    Quote Originally Posted by red55 View Post
    i know these questions have something to do with set theory and venn diagrams please would you be able to explain how you found the answers thanks.
    The is hardly a set theory question. It should be moved to an elementary mathematics forum.
    BTW. It is a Venn diagram. Venn was a 19th century British mathematician/logician. Therefore, one should use a capital V.
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  3. #3
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    okay does that mean u cant answer it
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  4. #4
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    Quote Originally Posted by red55 View Post
    okay does that mean u cant answer it
    You have a problem using standard English, particularly capitals, donít you?
    Yes I can do to the problem; I could do forty years ago.
    But I am not just going to hand it to you.
    What have you done on the problem.
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  5. #5
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    Quote Originally Posted by Plato View Post
    You have a problem using standard English, particularly capitals, donít you?
    Yes I can do to the problem; I could do forty years ago.
    But I am not just going to hand it to you.
    What have you done on the problem.
    i know that i have to use Venn diagrams AnB and AuB then put the numbers in the corresponding set and put the numbers in the middle were they apply to both sets and then erm dont really know. this isnt homework or anything its revision for an exam so if you give me the answer i wont get a mark for it however i will know what to do in the exam when i am given the question. lol
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