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 Set problems (Posted on 2004-05-12)
In a version of the game of set, cards with shapes on them are dealt out and each has four characteristics:

Type of shape (Circle, Square, or Triangle)
Color of the shape (Red, Blue, or green)
Fill type (Empty, Half filled, or Completely filled)
Number of the shape on the card (1, 2 or 3)

A "set" is defined as a three card subgroup of the cards "in play" such that for each of these four individual characteristics are either all the same, or all different. (The cards could be all different on one characteristic and be same on another.)

What is the greatest number of different cards that can be "in play" such that there is no subgroup that can be designated a "set"?

 No Solution Yet Submitted by Gamer Rating: 4.5000 (4 votes)

 Subject Author Date Trying again... Tristan 2004-10-13 02:22:09 definition of a "set"? Bruce Brantley 2004-08-24 04:49:10 formatted solution Leigh Lillico 2004-08-08 19:41:32 Try This Leigh Lillico 2004-08-07 05:10:13 re Solution Leigh Lillico 2004-07-21 01:13:58 solution Leigh Lillico 2004-07-14 02:46:23 Oops... Tristan 2004-05-15 10:56:22 Complete Proof Tristan 2004-05-14 17:08:37 solved? Axorion 2004-05-14 11:00:19 Half a proof Tristan 2004-05-13 20:26:46 re(2): not sure if i understood this correctly, but Tristan 2004-05-12 19:49:43 re: not sure if i understood this correctly, but Charlie 2004-05-12 15:15:10 not sure if i understood this correctly, but Danny 2004-05-12 13:39:34

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