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Old 11-15-2004, 10:13 AM
Lost Wages Lost Wages is offline
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Join Date: Sep 2002
Location: Houston, Texas
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Default Re: Starting Hands Calculation

There are 13 ranks, hence 13 unique pairs. A non-pair hand can have one of the 13 ranks for it's first card and one of the 12 remaining non-pairing ranks for its second card so there are (13*12)/2 = 78 non-pair hands. We divide by two to eliminate permutations since we are only interested in unique combinations, e.g. JT is the same hand as TJ. A non-pair hand can either be suited or unsuited so there is a total of 13 pairs + 78 suited non-pairs + 78 unsuited non-pairs = 169 unique hands.

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