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Thread: help me with pigeonhole principle #1

  1. October 31st 2009, 03:03 PM #1
    zpwnchen
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    help me with pigeonhole principle #1

    Show that among any group of five (not necessarily consecutive) integers, there are two with the same remainder when divided by 4.
    The pigeonhole principle does not make sense to me at all when it comes to implication.
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  2. October 31st 2009, 03:58 PM #2
    tonio
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    Quote Originally Posted by zpwnchen View Post
    The pigeonhole principle does not make sense to me at all when it comes to implication.

    The possible residues when an integer is divided by are 0,1,2,3...these are 4 possible residues, you've 5 numbers, thus...

    Tonio
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