Number of Unique Starting Hands

JohnDope · 10-15-2007, 11:07 PM

Feel like a complete muppet for this, but...

How many unique starting hands are there in hold'em? I've read 169 in a few places (13 cards, you get two), but I think it's 325:

Your first card can be one of 13 (A, K, Q etc., suit doesn't matter)

Your second card can be any one of 25 (12 suited cards, 12 unsuited cards, 1 card for a pocket pair)

13*25=325 (but then I think that should be divided by 2, because AcKs is the same as KsAc. But what the hell is half a starting hand?)

Anyone care to end my misery?

BlondieBLUeyz · 10-15-2007, 11:07 PM

I'm not feeling very well at the moment, try again later.

ferstname1981 · 11-13-2007, 12:18 PM

eee
try again later

JackOnTheTurn · 12-03-2007, 12:05 AM

52 cards in the deck. So 52 wys to deal the first card and 51 way to deal the second card,

52 x 51 = 2652, but we have counted every hand twice here so diveide by 2

2652 / 2 = 1326, so we have 1326 possible hands.

There are 78 of those hands that are pairs, 6 ways to deal a pocket pair per rank and 13 ranks.

The rest of the 1248 hands are unpaired cards.

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mundybags1 · 06-23-2008, 01:26 PM

well when you see it written as only 169 hands they consider any J9 suited to be the same. so obviously there is more then 169 but j9 suited is j9 suited right.

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