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in one elementary school class the following information on sports preferences was obtained: 7 liked tennis; 11 liked baseball; 9 liked soccer; 5 liked tennis and baseball; 3 liked baseball and soccer; 2 liked tennis and soccer; and 2 liked all three sports. How many students liked either tennis or soccer?

  • math -

    Hint:
    Draw a Venn diagram to fill in all the numbers, starting with the last (2 liked all sports) and work backwards.
    I find 17 students in all.

    Not too sure how the question is supposed to be interpreted:
    1. how many students liked tennis and no other sport or soccer and no other sport? (5)
    2. how many students liked at least one of tennis or soccer? (13)

  • math -

    14

  • math -

    13

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