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 Only One Hand (Posted on 2005-04-11)
In a game of Texas Hold'em, all 5 community cards are dealt, and the three remaining players simultaneously say, "Well, there's only one hand that can beat me."

How can this situation arise? Assume that the players do not lie.

Here, "one hand" means a unique combination of 2 cards, out of the (52 choose 2) = 1326 possible ones.

For those unfamiliar with the basic rules of Texas Hold'em: each player has two face down cards, and there are five face up cards on the table. Each player makes the best possible 5-card poker hand using any of the 5 community cards and his 2 private cards.

 See The Solution Submitted by David Shin Rating: 4.2857 (7 votes)

 Subject Author Date Quibble ... JayDeeKay 2009-07-08 17:24:53 re: Another solution tomarken 2006-03-15 14:23:03 Another solution tomarken 2006-03-15 14:14:50 No Subject hookedonphonics 2005-10-08 20:41:24 I joined this web-site to rank on this question Vincent 2005-06-14 19:59:39 On the official solution Tristan 2005-06-02 00:14:40 solution lizperp 2005-05-13 20:06:08 No Subject noel thompson 2005-04-23 16:22:49 re: solution maybe Jason 2005-04-21 06:02:22 re(2): solution maybe Adam Champken 2005-04-20 16:02:36 re: solution maybe Kardo 2005-04-19 17:05:30 solution maybe Jason 2005-04-19 09:55:32 re: Limits on possible solutions Tristan 2005-04-14 21:53:45 Limits on possible solutions Tristan 2005-04-13 00:04:20 re(4): Solution (Second Try!) w/ my solution ajosin 2005-04-12 19:04:42 re(3): Solution (Second Try!) w/ my solution Dustin 2005-04-12 17:02:48 re(2): Solution (Second Try!) w/ my solution ajosin 2005-04-12 15:21:48 re: Solution (Second Try!) w/ my solution Kardo 2005-04-12 12:16:18 re: No Subject David Shin 2005-04-12 04:25:11 No Subject Cory Taylor 2005-04-11 21:21:06 Solution (Second Try!) ajosin 2005-04-11 19:45:06 re(2): Solution ajosin 2005-04-11 19:25:26 Comments David Shin 2005-04-11 18:31:22 re: Solution Gus 2005-04-11 16:59:20 re: Solution Dustin 2005-04-11 16:58:17 What about this? Gus 2005-04-11 16:49:54 re: Better idea--solution? ajosin 2005-04-11 15:42:53 Solution ajosin 2005-04-11 15:38:41 Better idea--solution? Charlie 2005-04-11 15:27:10 probably not quite it. Charlie 2005-04-11 15:19:24 I forget Bryan 2005-04-11 15:15:06

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