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 Suspects and Investigations (Posted on 2008-08-29)
An officer has to solve a case with 20 suspects, 10 from colony A, and 10 from colony B. He can solve the case once at least 19 of them answer truthfully during an investigation.

The officer has two identical boxes labeled P and Q, which each have 20 cards, one for each suspect. Before each investigation, he takes one card from each box. He interrogates these two people during the investigation; the suspect from box P will tell the truth, and the suspect from box Q will tell the truth if and only if the suspect from box P is from colony A. (The officer can tell who's telling the truth.)

After each investigation, the officer will discard cards from truthful suspects (from both boxes) and return cards from lying suspects to the original box.

Find the number of possibilities that he can solve the case in 10 investigations.

 No Solution Yet Submitted by Praneeth Rating: 1.0000 (1 votes)

 Subject Author Date Has this been solved ?? ed bottemiller 2008-09-11 17:08:33 Would Praneeth reply? ed bottemiller 2008-09-05 17:31:53 Circular? ed bottemiller 2008-09-02 19:13:01 Clarifications? brianjn 2008-09-01 09:58:31 a combinatorial possible solution Dej Mar 2008-09-01 03:06:14 re: A question of procedure Gamer 2008-08-30 23:20:58 re: Puzzle needs clarification: Kafka calls Gamer 2008-08-30 23:14:17 A question of procedure Dej Mar 2008-08-29 22:30:20 Puzzle needs clarification: Kafka calls ed bottemiller 2008-08-29 20:11:01

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