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Math Help - help me with pigeonhole principle #2

  1. #1
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    help me with pigeonhole principle #2

    Suppose that there are nine students in a math class.
    a) Show that the class must have at least five male students or at least five female students.
    b) Show that the class must have a t least three male students or at least seven female students.
    How am i supposed to show that?
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  2. #2
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    Quote Originally Posted by zpwnchen View Post
    Suppose that there are nine students in a math class.
    a) Show that the class must have at least five male students or at least five female students.
    b) Show that the class must have a t least three male students or at least seven female students.
    How am i supposed to show that?
    Shame on you for asking such a transparent question.
    Either you are fishing for a complete answer or you do not understand anything about this topic.
    Which is it?

    Have you no idea of a possible solution?
    If not, then you are in real trouble; the kind of trouble that no website such as this can possibility address
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  3. #3
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    Yeh i'm in trouble. frankly, I do have no idea about this whole pigeon hole concept and implication. will you help me?

    gender(male | female) is as pigeonhole? and the students are as pigeons?
    So that in order to get 9 student out of it, we have to get at least 5 male and 5 female students?
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  4. #4
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    Quote Originally Posted by zpwnchen View Post
    Yeh i'm in trouble. frankly, I do have no idea about this whole pigeon hole concept and implication. will you help me?

    gender(male | female) is as pigeonhole? and the students are as pigeons?
    So that in order to get 9 student out of it, we have to get at least 5 male and 5 female students?

    So, after all, you DO HAVE some idea, uh? Well, now think on it and, if you feel adventurous, open a book or some web site and learn even more about the very famous Pigeonhole Principle.

    Tonio
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