Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -

Teacher Committees


Best Answer superprismatic, 28 June 2013 - 09:06 PM

Spoiler for one possible teacher-committee assignment
Go to the full post


  • Please log in to reply
1 reply to this topic

#1 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1677 posts
  • Gender:Female

Posted 27 June 2013 - 07:50 PM

Fifteen college teachers (A,B,...,O) must serve on a total of twenty committees (1-20), such that:
i) Each teacher is on exactly four committees,
ii) Each committee has three teachers on it,
iii) No two committees have more than one teacher in common.
 
List (or accurately describe) such a committee structure, or else prove it can't exist.

  • 0

#2 superprismatic

superprismatic

    Not just Prismatic

  • Moderator
  • PipPipPipPip
  • 1281 posts
  • Gender:Male

Posted 28 June 2013 - 09:06 PM   Best Answer

Spoiler for one possible teacher-committee assignment

  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users