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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 Re: Help Me ! » seating charts for 3-minute meetings » 2011-05-21 17:49:52

I found it, thanks.  12 golfers, pairs, 11 rounds

That's a handy site!  I'll have to study the diagrams.

#2 Re: Help Me ! » seating charts for 3-minute meetings » 2011-05-21 17:07:57

Thanks, I didn't realize that this type of problem was well known and even has its own name.  I looked at your link and looked at some Wikipedia entries, but they really didn't give me enough information to compute the combinations myself.

Did you compute the combinations or did you already have the solution?  I hesitate to ask a mathematician to reveal his tricks!

#3 Re: Help Me ! » seating charts for 3-minute meetings » 2011-05-21 16:35:37

Thanks bobbym, that is great!  How did you do it?  I'd like to understand the theory so I could also plan for 10 people, or 16, or 20.

#4 Help Me ! » seating charts for 3-minute meetings » 2011-05-21 16:11:20

Paul29
Replies: 7

Let's say I am planning a networking meeting which will be attended by 12 people.  I would like every guest to have a few minutes to sit down and talk one-on-one with every other guest.  From the combinations formula I know there are 66 possible pairings of people.  Since there are 12 people and 2 people will sit at each table, I know I'll need 6 tables.  I can also calculate that it's possible to hold all meetings with only 11 different seating arrangements.  Is there a system that will optimize each table's seating chart for the entire event?  Is this just a further application of combinations?  Thanks!

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