Mathematica 9 is now available
Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2010

[Date Index] [Thread Index] [Author Index]

Search the Archive

classroom combinatorics

  • To: mathgroup at smc.vnet.net
  • Subject: [mg111428] classroom combinatorics
  • From: "McGill, Paul" <mcgill at mbari.org>
  • Date: Sun, 1 Aug 2010 04:56:04 -0400 (EDT)

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


  • Prev by Date: CounterBox[] & CounterFunction[] & DingBat
  • Next by Date: Re: ODE solution transfer
  • Previous by thread: Re: CounterBox[] & CounterFunction[] & DingBat
  • Next by thread: Re: classroom combinatorics