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Math Help - 5 cards

  1. #1
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    5 cards

    Art takes 5 cards (at random) out of a regular 52card deck, and gives them to Ben.
    The cards happen to be the 2d 4c 5h 5d Ks. Ben gives back the 5d to Art.

    Ben then gives his partner Cam (under the door; Cam is in another room!)
    the 4 other cards, in this order: 2d 5h 4c Ks.

    Cam looks at the cards and tells Art: you got the 5 of diamonds!

    Naturally, Ben sent Cam a signal; what is the signal?

    NOTE: there is no "tricks" like upside down cards; the cards "do the talking".
    And this will work for any 5 cards drawn by Art.
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  2. #2
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    The first card, 2D, relays the suit of the 5th card, diamonds, and a 'base number' 2.
    The remaining three cards can be passed in six different orders, allowing any number from 1 to 6 to be generated.
    4C, 5H, KS = 1; 4C, KS, 5H = 2; 5H, 4C, KS = 3; 5H, KS, 4C = 4; KS, 4C, 5H = 5; KS, 5H, 4C = 6.
    The number, 3 for the example given, is then added to the base number to identify the fifth card.
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  3. #3
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    Right on Bob.
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  4. #4
    Member grgrsanjay's Avatar
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    a cool one
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  5. #5
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    Quote Originally Posted by grgrsanjay View Post
    a cool one
    Yes, it sure is; I do it with my daughter as partner.
    Try it yourself: lots of fun at a party.
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  6. #6
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    Nice one. Thanks
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