Yahtzee Texas Holdem

[BruceZ]

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that should be C(20,7) not C(20,5) since you get 7 dice to make a hand with shouldn't it?

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You're correct. I was only considering 5 dice hands, as in the original Yahtzee. Since there are 7 dice, there are also a lot more Yahtzee flushes since the other 2 dice can be anything. I made the changes to my original post in red.