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 No Room at the Inn (Posted on 2003-06-25)
Three young men named Ajax, Balthazar, and Cicero arrived singly at an inn and awaited the innkeeper. When she arrived at the front desk, the innkeeper explained that no rooms were available, but as the rains were especially harsh that season she was willing to put up the three men as best she could. The man who arrived first could sleep in a spare bunk in the stableboys room, the second to arrive could sleep in the stable, and the third would have to bunk in the pighouse, which at least was warm and dry. The following argument ensued:

Ajax: I arrived first.
Balthazar: No you didn't! I was first.
Cicero: You were not! I arrived first.
Ajax: That's a lie! I arrived first, as I said before.
Cicero: Well, Balthazar did not arrive second.
Balthzar: Agreed.

The innkeeper knew that everyone in these parts was either a knight who always told the truth, a liar who never told the truth, or a knave whose statements strictly alternated between truth and untruth. Using deductive reasoning, what is the disposition of each young man, and what berth did the innkeeper assign to each?

 See The Solution Submitted by Bryan Rating: 4.5000 (10 votes)

 Subject Author Date Knaves Math Man 2011-01-30 21:46:10 answer K Sengupta 2007-11-14 04:10:43 alternative solution Daniel 2006-07-31 04:40:49 re(5): i think... - Thoughts Telly 2004-06-09 15:42:14 Creative Carlos Da Peanut 2004-05-28 11:00:03 I think... Poliahu 2004-02-09 15:57:19 Deduction §ēåpėstėr 2003-11-30 04:23:02 re(4): i think... DJ 2003-06-27 07:41:47 re(3): i think... Chris 2003-06-27 03:33:31 some thoughts yaman 2003-06-26 13:41:02 re(2): i think... DJ 2003-06-26 10:54:22 re: i think... Bryan 2003-06-26 08:15:03 i think... sarah 2003-06-26 07:14:45 re: My solution Bryan 2003-06-25 11:41:32 More Thoughts (Soulution) DJ 2003-06-25 11:38:36 My solution Ender 2003-06-25 11:07:33 this might work Hank 2003-06-25 11:03:01 First Thoughts DJ 2003-06-25 10:31:38

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