Combination of Boards @ Texas Hold em

sorry if its been asked before, was wondering what is the number of possible combination of different boards in a texas holdem game (full board, flop, turn, river)

Thank you,
federico.

If you don't know any hole cards, there are basically 2598960 (52 choose 5) different boards. However, the order of the cards is somewhat important for betting purposes (an A on the flop might make a different betting pattern than that same A on the river), so there are 22100 (52 choose 3) flops, 49 turns, and 48 rivers, so there's a total of 51979200 ways the board can come out.

If you know two hole cards (usually yours), it's a similar process: ₅₀C₅ = 2118760 final boards, with ₅₀C₃ = 19600 flops, 47 turns, and 46 rivers, so 42375200 ways the board can play out.

Quote: wildqat

If you don't know any hole cards, there are basically 2598960 (52 choose 5) different boards. However, the order of the cards is somewhat important for betting purposes (an A on the flop might make a different betting pattern than that same A on the river), so there are 22100 (52 choose 3) flops, 49 turns, and 48 rivers, so there's a total of 51979200 ways the board can come out.

If you know two hole cards (usually yours), it's a similar process: ₅₀C₅ = 2118760 final boards, with ₅₀C₃ = 19600 flops, 47 turns, and 46 rivers, so 42375200 ways the board can play out.

awesome TY! :)