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Math Help - Chorus Students

  1. #1
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    Chorus Students

    In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?
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  2. #2
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    Quote Originally Posted by symmetry View Post
    In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?
    18-2 take chrous only
    26-2 take band only
    2 take band and chorus

    so (18-2)+(26-2)+2=42 take something, and so 8 take neither.

    RonL
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    ok

    Can this question be solved using the concept of venn diagram math?
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  4. #4
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    Quote Originally Posted by symmetry View Post
    Can this question be solved using the concept of venn diagram math?
    Yes; venn diagrams are often used for questions of this type. Venn diagrams are especially useful later in discrete math where you want to avoid "double counting".
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  5. #5
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    Quote Originally Posted by AfterShock View Post
    Yes; venn diagrams are often used for questions of this type. Venn diagrams are especially useful later in discrete math where you want to avoid "double counting".
    But the Venn diagram is only serving as a tool to make sure that you have included/excluded
    all the possibilities.

    Also the inclusion exclusion method is applicable.

    RonL
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