The frequencies are calculated in a manner similar to that shown for 5 card hands, except additional complications arise due to the extra two cards in the 7 card poker hand. The total number of distinct 7 card hands is(The frequencies given are exact; the probabilities and odds are approximate.)Since suits have no relative value in poker, two hands can be considered identical if one hand can be transformed into the other by swapping suits. Eliminating identical hands that ignore relative suit values leaves 6,009,159 distinct 7 card hands.The number of distinct 5 card poker hands that are possible from 7 cards is 4,824.
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