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Hymn Numbers (Posted on 2005-12-07) Difficulty: 2 of 5
The Cathedral of St. Levikus has just purchased an ornate woodcarving with three rows to insert (one-sided) number cards, in order to inform the congregation of the hymns sung during the service.

Each of the 999 hymns in the cathedral's hymnal is labeled with a number (1 through 999). Three hymns are sung at each service, and no hymn will be sung more than once during each service.

The numbers on cards are written like this:

0 1 2 3 4 5 6 7 8 9

as they are on a computer's keyboard.

Given this information, how many number cards minimum are needed to correctly display any three different hymns?

See The Solution Submitted by Captain Paradox    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
AnswerK Sengupta2008-03-19 11:01:08
Some Thoughtsre: more effecienthal2005-12-11 22:36:04
more efficientTristan2005-12-08 18:23:51
Solutionre(2): First try -- a tricke.g.2005-12-07 08:36:21
Some Thoughtsre: First try -- a trickOld Original Oskar!2005-12-07 08:14:12
First tryLarry2005-12-07 07:14:03
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