Three Card Poker Progressive

The "6 Card Bonus" is a side bet based on the highest five-card poker hand that can be composed out of the player's and dealer's three cards.


My calculation for Full house combinations = combo(4,3) * combo(4,2) * 44 * 78 + combo(4,3) * combo(4,2) * 46 * 78 = 168480.

However, Wizard calculation shown that the combinations = 165984. See "6 card bonus" section in link : https://wizardofodds.com/games/three-card-poker/


Can anyone point out my mistake?

There are two patterns xxxyyz and xxxyyy
xxxyyz = 13 ranks choose 3 suits, 12 ranks choose 2 suits, 11 ranks choose 1 suit.
13*combin(4,3) * 12 * combin(4,2) * 11 * combin(4,1)
xxxyyy = choose 2 of 13 ranks, choose 3 suits from each
combin(13,2) * combin(4,3) * combin(4,3)


ps I'll reply to your pm later tonight.

Thanks. Waiting for your PM !