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MathGroup Archive 2001

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RE: shuffling a deck of cards

  • To: mathgroup at smc.vnet.net
  • Subject: [mg31798] RE: [mg31768] shuffling a deck of cards
  • From: "David Park" <djmp at earthlink.net>
  • Date: Sun, 2 Dec 2001 04:25:26 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Peter,

I Flattened your FullDeck statement.

Needs["DiscreteMath`Permutations`"]

Clubset = Array[clubs, 13];
Diamondset = Array[diamonds, 13];
Spadeset = Array[Spade, 13];
Heartset = Array[Heart, 13];
FullDeck =
    Sort[Join[{Heartset}, {Spadeset}, {Diamondset}, {Clubset}]] // Flatten;

FullDeck[[RandomPermutation[52]]]

{Heart[1], Heart[9], Heart[10], Spade[13], clubs[6], clubs[11], Heart[3],
  Heart[4], Heart[5], Spade[7], diamonds[2], diamonds[9], Spade[2],
  diamonds[5], clubs[5], Spade[6], Spade[12], Spade[4], diamonds[13],
  Spade[8], clubs[1], diamonds[6], Heart[7], diamonds[12], Spade[1],
  diamonds[4], Spade[3], diamonds[3], clubs[10], Heart[8], Spade[5],
  clubs[13], clubs[9], diamonds[11], Heart[2], clubs[12], diamonds[1],
  clubs[7], Heart[13], Heart[11], Heart[12], Heart[6], Spade[11], Spade[10],
  Spade[9], diamonds[7], clubs[2], clubs[8], diamonds[8], clubs[3],
  diamonds[10], clubs[4]}

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/



> From: Peter Dimitriou [mailto:peterangelo at mindspring.com]
To: mathgroup at smc.vnet.net
>
> To Whom it may concern,
>
> the following is a deck of cards that needs to be shuffled, how would
> I do this using the Sort Command
>
> Clubset=Array[clubs, 13]
>
> {clubs[1],clubs[2],clubs[3],clubs[4],clubs[5],clubs[6],clubs[7],clubs[8],
>   clubs[9],clubs[10],clubs[11],clubs[12],clubs[13]}
>
> Diamondset=Array[diamonds, 13]
>
> {diamonds[1],diamonds[2],diamonds[3],diamonds[4],diamonds[5],diamonds[6],
>
> diamonds[7],diamonds[8],diamonds[9],diamonds[10],diamonds[11],diam
> onds[12],
>   diamonds[13]}
>
> Spadeset=Array[Spade, 13]
>
> {Spade[1],Spade[2],Spade[3],Spade[4],Spade[5],Spade[6],Spade[7],Spade[8],
>   Spade[9],Spade[10],Spade[11],Spade[12],Spade[13]}
>
> Heartset=Array[Heart, 13]
>
> {Heart[1],Heart[2],Heart[3],Heart[4],Heart[5],Heart[6],Heart[7],Heart[8],
>   Heart[9],Heart[10],Heart[11],Heart[12],Heart[13]}
>
> FullDeck=Sort[Join[{Heartset},{Spadeset}, {Diamondset}, {Clubset}]]
>
> {{clubs[1],clubs[2],clubs[3],clubs[4],clubs[5],clubs[6],clubs[7],clubs[8],
>     clubs[9],clubs[10],clubs[11],clubs[12],clubs[13]},{diamonds[1],
>
> diamonds[2],diamonds[3],diamonds[4],diamonds[5],diamonds[6],diamonds[7],
>     diamonds[8],diamonds[9],diamonds[10],diamonds[11],diamonds[12],
>     diamonds[13]},{Heart[1],Heart[2],Heart[3],Heart[4],Heart[5],Heart[6],
>     Heart[7],Heart[8],Heart[9],Heart[10],Heart[11],Heart[12],
>     Heart[13]},{Spade[1],Spade[2],Spade[3],Spade[4],Spade[5],Spade[6],
>     Spade[7],Spade[8],Spade[9],Spade[10],Spade[11],Spade[12],Spade[13]}}
>
> How do I shuffle FullDeck using the Sort Command so it is all mixed
> up?
>
> Peterangelo
>



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