General Betting
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12 of us are going on a golf trip to play 5 rounds of golf ( 3 groups of 4 each day)
Is it possible to arrange it that everyone plays with everyone at least once during the 5 rounds ??
I've tried for hours and cant make it work.
I'm sure it is possible, anybody got a grid
IE
1234 - 5678 - 9 10 11 12 Thats the easy part done day 1
its the next 4 days that get tricky
Thanks in advance
Is it possible to arrange it that everyone plays with everyone at least once during the 5 rounds ??
I've tried for hours and cant make it work.
I'm sure it is possible, anybody got a grid
IE
1234 - 5678 - 9 10 11 12 Thats the easy part done day 1
its the next 4 days that get tricky
Thanks in advance
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day 2
1 2 5 6,3 4 9 10, 7 8 11 12. day 3 1 2 7 8, 3 4 11 12, 5 6 9 10 day 4 1 2 9 10, 3 4 5 6, 7 8 11 12 day 5 1 2 11 12, 3 4 7 8, 5 6 9 10 how does that sound |
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pair them up so you have 6 pairs then 5 days playing the 5 other pairs each day
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You have a possible 495 different four ball combinations...so you may need to add a couple more rounds to achieve what you want to do
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5 and 6 never play with 11 and 12.
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i must have duplicated 1. but it does work as you would have 6 groups of 2. and each group would play one of the other 5 groups 1 a day
day 1 1 2 3 4, 5 6 7 8, 9 10 11 12. day 2 1 2 5 6, 3 4 9 10, 7 8 11 12. day 3 1 2 7 8, 3 4 11 12, 5 6 9 10. day 4 1 2 9 10, 5 6 11 12, 3 4 7 8. day 5 1 2 11 12, 3 4 5 6, 7 8 9 10. |
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totally distracted me from what I was doing.
Also with eroginous's solution 7 and 8 never play with 9 and 10 At the risk of some smart arse coming up with a soltion 2 minutes after I post this: 1 - This is a very hard problem 2 - It's quite possible that there is no solution (my gut tells me there is one, but not many) there are required 72 pairings (12*12/2). ER answer makes 64 pairings I can get to 68 pairings like this: 1,2,3,4 - 5,6,7,8 - 9,10,11,12 1,4,7,10 - 2,5,8,11 - 3,6,9,12 1,5,10,11 - 2,3,6,7 - 4,8,9,12 1,2,9,12 - 3,6,8,10 - 1,5,7,11 1,4,6,8 - 3,5,9,12 - 2,7,10,11 (missing 3v11, 6v11,7v9,7v12) I had to make a spreadsheet - DM me if you want it. |
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the mans a genious!
or smart arse  |
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have to agree with you though mate, very distracting!!!!! haha. its only hard if you dont pair them up isnt it, far too many combinations. once youve got your 6 pairs then its pretty simple that they play each of the other 5 pairs one a day, its just putting them in an order  i must have duplicated on the first one |
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if the solution above isnt to your liking ...
ask for "baggers" on the golf forum he is the master of these things |
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yeah - really nice approach.... (golf chat).
I didn't go that way, because I felt that buy playing every day with a 'buddy', you're wasting the opportunity to play with new people. But I think not that doesn't really matter because there are too few players. |
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yeah, would be better as a competition as well because being paired with another player you could play not only a singles tournament but a fourballs as well. as well as seeing how yourself and your pairing got on against all the other singles and pairings at the end of the week
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