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Math Help - Set theory

  1. #1
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    Set theory

    The following data is obtained from a high school from a population of 1600 students.

    801 passed Math
    900 passed Physics
    752 passed Chemistry
    435 passed Math and Physics
    398 passed Math and Chemistry
    412 passsed Physics and Chemistry
    310 passed Math, Chemistry and Physics

    Calculate how many students passed only one subject.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bret80
    The following data is obtained from a high school from a population of 1600 students.

    801 passed Math
    900 passed Physics
    752 passed Chemistry
    435 passed Math and Physics
    398 passed Math and Chemistry
    412 passsed Physics and Chemistry
    310 passed Math, Chemistry and Physics

    Calculate how many students passed only one subject.
    As 310 passed all three, 412-310=102 passed only P&C, 398-310=88 passed only
    M&C, and 435-310=125 passed only M&P.

    Therefore

    801-310-88-125=278 passed only M,
    900-310-102-125=363 passed only P,
    752-310-102-88=252 passed only C.

    So the number that passed only one subject is 278+363+252=893

    RonL
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  3. #3
    Super Member

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    Hello, bret80!

    The following data is obtained from a high school from a population of 1600 students.

    801 passed Math
    900 passed Physics
    752 passed Chemistry
    435 passed Math and Physics
    398 passed Math and Chemistry
    412 passsed Physics and Chemistry
    310 passed Math, Chemistry and Physics

    Calculate how many students passed only one subject.

    You need to construct a Venn diagram.
    Code:
              * - - - - - *
              | M  278    |
              |   * - - - + - *
              |   |   125 |   |
          * - + - + - *   +   |
          |   | 88|310|   |   |
          |   * - + - + - *   |
          |       |   | 363 P |
          |       * - + - - - *
          | C 252     |
          * - - - - - *

    Students passing one course: . 278 + 363 + 252 \,= \,893

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