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Open By Majority (Posted on 2004-03-03) Difficulty: 3 of 5
A group of five people want to put a set of locks on a chest and distribute keys to the locks amongst themselves in such a way that all the locks on the chest could be opened only when at least three of them were present to open it.

How many locks would be needed, and how many keys?

See The Solution Submitted by Brian Smith    
Rating: 4.1429 (7 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
AnswerK Sengupta2008-03-21 13:02:56
One Lock to rule all locks.Charley2005-08-07 04:56:35
SolutionAnother way of looking at it.Juggler2004-03-11 11:40:17
re(3): 2 for all but 1Penny2004-03-05 07:45:12
Some Thoughtsre(2): 2 for all but 1brianjn2004-03-05 01:00:56
Some Thoughts"Open by Majority" was a great puzzlePenny2004-03-04 21:33:18
re(2): Revised solution to revised puzzlePenny2004-03-04 21:16:52
re: 2 for all but 1SilverKnight2004-03-04 17:15:58
2 for all but 1brianjn2004-03-04 17:07:27
re: Really SimplePenny2004-03-04 12:47:17
SolutionRevision to revised solution to revised puzzlePenny2004-03-04 12:29:40
SolutionReally SimpleDJ2004-03-04 12:19:42
re: Revised solution to revised puzzleCharlie2004-03-04 12:04:18
re(4): About the keys and locksBrian Smith2004-03-04 12:04:14
re: Revised solution to revised puzzleBrian Smith2004-03-04 12:03:20
SolutionRevised solution to revised puzzlePenny2004-03-04 11:54:41
SolutionSolution to revised puzzlePenny2004-03-04 11:32:23
Questionre(3): About the keys and locksStelian Trandafir2004-03-04 10:50:45
re(2): About the keys and locksBrian Smith2004-03-04 10:32:10
re: About the keys and locksPenny2004-03-04 10:28:43
re(3): ?!? Master KeyPenny2004-03-04 10:22:34
About the keys and locksBrian Smith2004-03-04 10:19:39
re(2): ?!? Master KeyStelian Trandafir2004-03-04 10:12:24
re: ?!? Master KeyPenny2004-03-04 09:58:57
?!? Master KeyStelian Trandafir2004-03-04 09:29:22
re: Possible SolutionPenny2004-03-04 07:58:55
Possible SolutionStelian Trandafir2004-03-04 07:28:29
re: No SubjectPenny2004-03-04 04:28:52
Some ThoughtsNo Subjectbrianjn2004-03-04 02:05:51
re(3): Solution (Penny's)Penny2004-03-03 22:18:47
re(2): Solution (Penny's)Tristan2004-03-03 20:26:49
re(2): Cost effective solutionJuggler2004-03-03 20:00:16
Questionre: Cost effective solutionPenny2004-03-03 19:54:15
re: ExplanationsSilverKnight2004-03-03 19:53:15
SolutionCost effective solutionJuggler2004-03-03 19:40:55
ExplanationsGamer2004-03-03 19:26:50
re: SolutionPenny2004-03-03 18:35:54
re(3): key answer +an EXTRA key for GAMERSilverKnight2004-03-03 18:17:24
Solutionre(2): key answer +an EXTRA key for GAMERAdy TZIDON2004-03-03 18:15:00
SolutionSolutionPenny2004-03-03 18:13:37
re: key answerGamer2004-03-03 17:57:39
QuestionWhy 'how many keys'?George2004-03-03 17:56:20
Solutionkey answerAdy TZIDON2004-03-03 17:44:54
re: Poor SolutionRichard2004-03-03 16:49:38
Poor SolutionDJ2004-03-03 16:31:15
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