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 The Ultimate Cribbage Hand (Posted on 2006-06-07)
In Cribbage, a hand scores as follows:

• 2 points for each set of cards that totals 15 (face cards count 10, aces count 1)
• 2 points for each pair (this means 3-of-a-kind is worth 6 points and 4-of-a-kind is worth 12 points)
• n points for each maximal straight containing n cards
• (i.e. a four card straight does not also count as two three card straights)
• n points for each maximal flush containing n cards
• (i.e. a four card flush does not also count as four three card flushes)
• 1 point for the jack of trumps

• It's easy to show that the best five card hand is J5555, worth 29 points, and, although impossible in an actual game, the best six card hand would be 445566, worth 46 points.

If the entire deck of 52 cards was considered to be a single cribbage hand, what would be its value?

 See The Solution Submitted by Jer Rating: 3.3333 (3 votes)

 Subject Author Date answer K Sengupta 2008-02-06 05:43:59 re: Opps robert 2006-10-01 10:50:26 No Subject robert 2006-10-01 09:58:11 Ultimate cribbage hand grant 2006-09-22 01:33:44 Solution? Penny Slaton 2006-08-19 19:35:59 re(4): Part of the solution Charlie 2006-06-08 09:19:09 re(2): A Fist Full brianjn 2006-06-08 04:12:55 re: Hey Charlie Charlie 2006-06-08 00:19:03 New Total Eric 2006-06-07 23:40:52 re(3): Part of the solution Eric 2006-06-07 23:31:17 re: A Fist Full Eric 2006-06-07 23:24:21 re: some help from the computer (spoiler) Eric 2006-06-07 23:15:06 A Fist Full brianjn 2006-06-07 21:09:39 re: Part of the solution brianjn 2006-06-07 20:45:56 re: Why is J5555 only 29 pts? Jer 2006-06-07 17:55:16 Hey Charlie tomarken 2006-06-07 16:10:53 re(2): Part of the solution tomarken 2006-06-07 16:06:28 re: Part of the solution Charlie 2006-06-07 15:41:15 some help from the computer (spoiler) Charlie 2006-06-07 15:38:26 Part of the solution tomarken 2006-06-07 15:38:09 Why is J5555 only 29 pts? Charlie 2006-06-07 14:08:00

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