number of omaha starting hands, ignoring suits

mosch · #1 05-11-2005, 11:37 PM

PokerTracker Omaha has a comical starting hand view, which shows every hand you've been dealt like so:
AAAA
AAAK
AAAT
...
2222

so... how many starting hands are there? I'm embarassed to admit I've screwed up the math twice so far.

mosch · #2 05-12-2005, 01:01 AM

Is it just 13^3 .. 1^3?

If this is correct (and if I can use a calculator), this would be 8281 different starting hands, excluding suits.

BruceZ · #3 05-12-2005, 01:32 AM

[ QUOTE ]
PokerTracker Omaha has a comical starting hand view, which shows every hand you've been dealt like so:
AAAA
AAAK
AAAT
...
2222

so... how many starting hands are there? I'm embarassed to admit I've screwed up the math twice so far.

[/ QUOTE ]

no pair: C(13,4) = 13*12*11*10/(4*3*2*1) = 715

1 pair: 13*C(12,2) = 13*12*11/(2*1) = 858

2 pair: C(13,2) = 13*12/(2*1) = 78

set: 13*12 = 156

quads: 13
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1820