> classroom combinatorics
- To: mathgroup at smc.vnet.net
- Subject: [mg111607] > classroom combinatorics
- From: Dana DeLouis <dana01 at me.com>
- Date: Sat, 7 Aug 2010 01:32:02 -0400 (EDT)
> She has 28 students in her class and wants them to meet in groups > four=85 You may find the following Wolfram Demonstration interesting... http://demonstrations.wolfram.com/SocialGolferProblem Just some other references http://www.maa.org/editorial/mathgames/mathgames_08_14_07.html http://mathworld.wolfram.com/KirkmansSchoolgirlProblem.html = = = = = = = = = = HTH : >) Dana DeLouis > On Aug 1, 4:56 am, "McGill, Paul" <mcg... at mbari.org> wrote: > My wife, who is a business professor, asked me an interesting question > today. She has 28 students in her class and wants them to meet in groups > four, once each class session, such that every student gets at least one > chance to work with every other student in a minimum number of class > sessions. For instance, if the class had only nine students and met in > groups of three, you could accomplish this in four class sessions: > > c1 = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}} > c2 = {{1, 4, 7}, {2, 5, 8}, {3, 6, 9}} > c3 = {{1, 5, 9}, {2, 6, 7}, {3, 4, 8}} > c4 = {{1, 6, 8}, {2, 4, 9}, {3, 5, 7}} > > How can I use Mathematica to figure this out? I've looked through the > tutorial for the Combinitorica package and see nothing quite like this > case. Can anyone give me a nudge in the right direction? > > Thanks, > Paul