Re: Identical Random Shuffles?
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A smaller scale example would be if you held Q[img]/images/graemlins/heart.gif[/img]K[img]/images/graemlins/heart.gif[/img] in HE and the flop came 2[img]/images/graemlins/diamond.gif[/img]7[img]/images/graemlins/club.gif[/img]9[img]/images/graemlins/spade.gif[/img]. There are 6 flops total that basically give you the exact same hand. If you take this for any QKs, you get 24 equal hands. Another example would be if you had 44 and the flop came KT7 rainbow. There are 144 combinations of this setup. Does 52!/4! cover this?
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This situation is much different than the above described one. You wanted to know how many shuffles, which has nothing to do with flops. Each of your cases have unique answers, because they are unique.
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Ok. Let's assume the original shuffling creates those hands/flops. Is the variation of those "identical" hands included in our 52!/4! shuffle combinations?
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