document.write( "Question 654404: I have a group of 8 people who play bridge every month. There are 4 people per table so 2 tables per month
\n" ); document.write( "I need to develop a list of who plays with each other. I want to arrange it so that everybody gets to play with each other as equal as possible over the course of a year
\n" ); document.write( "I feel that there has to be a simple mathmatical way of doing this instead of just trying to be random.
\n" ); document.write( "Thanks for your help!
\n" ); document.write( "Ann
\n" ); document.write( "AnnMarion123@hotmail.com \n" ); document.write( "
Algebra.Com's Answer #408745 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
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document.write( "Hi,
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document.write( "Re TY, Set UP should not result in any duplicate pairs.  See below:
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document.write( "\"arrange it so that everybody gets to play with each other as equal as possible over the course of a year\"
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document.write( "first: number people 1-8 and Make a List of Your \"28\" Possible Pairings:
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document.write( "1 with 2-8  7 pairings
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document.write( "2 with 3-8  6 pairings
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document.write( "3 with 4-8  5 pairings
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document.write( "4 with 5-8  4 pairings
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document.write( "5 with 6-8  3 pairings
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document.write( "6 with 7&8  2 pairings
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document.write( "7 with 8    1 pairings
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document.write( "              28 Possible pairings  (Statisticallly, that would be 8C2)
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document.write( "1-2	1-3	1-4	1-5	1-6	1-7	1-8
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document.write( "2-3	2-4	2-5	2-6		2-8     2-7	
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document.write( "3-4	3-5	3-6	3-7	3-8		
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document.write( "4-5	4-6	4-7	4-8			
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document.write( "5-6	5-7	5-8				
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document.write( "6-7	6-8					
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document.write( "7-8						
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document.write( "As random drawing may result in 2 \"1s\", as You pointed out, rather than redrawing...
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document.write( "might be simpler to just go down the columns and choose the pairings, for ex: (1-2, 3-4) (2-3,4-5) etc
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document.write( "Might then recommend drawing 4 pairings(out of a box originally containing the 28)each month
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document.write( "(do not replace them in that box) and assign them to one of the two tables.
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document.write( "After 7 months, All of the 28 pairings could go back in a box for another round of drawings. \r
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