Re: Simple way to find combinations of hands?
For non pairs, not caring about suitedness, take the number of each rank and multipy them together. In your example, you have AA and there is a K on the board.
There are two aces left and 3 kings, so there are 6 ways to make AK (2Aces *3Kings).
For suited, just count the suits you see neither Ace nor King (two or one depending on whether the board K matches one of your aces).
For specifically non suited, it is just the first number minus the second.
The reason you divide by two the way you are calculating combinations is because you are generating the combination as a series of events, so you double count all your combinations. (A [img]/images/graemlins/heart.gif[/img]A [img]/images/graemlins/spade.gif[/img] is the same as A [img]/images/graemlins/spade.gif[/img]A [img]/images/graemlins/heart.gif[/img], but both get counted individually). In the case with AK, you can count combinations directly so you don't double count, if that makes sense.
You should pick up a book on probability and combinatorics (or take a class if you have the opportunity). You will find the material easy, but very useful and time saving none the less.
|