Can you sort better groups than this?

[Kennysarmy]

7 of us playing 3 rounds, I want the best mix of everyone playing with as many people as possible and with no one being in either the three or four ball for all rounds.

I've come up with this:

R1
A B C
D E F G

R2
A D E
B C F G

R3
C D F
A B E G

I'm sure there is a mathematical formulae to work this out - but I just used trial and error - if anyone can find a better solution please post

G is in the 4 ball every round

 

[bobmac]

Probably not helpful but.........
I would just throw all the names in a hat and draw them at the start of each round.

 

[BrianM]

I'd do what Bob says or throw balls in the air.

 

[Kennysarmy]

Probably not helpful but.........
I would just throw all the names in a hat and draw them at the start of each round.

Definitely easier, but I would like it to be as sociable as possible - thanks.

 

[rosecott]

7 of us playing 3 rounds, I want the best mix of everyone playing with as many people as possible and with no one being in either the three or four ball for all rounds.

I've come up with this:

R1
A B C
D E F G

R2
A D E
B C F G

R3
C D F
A B E G

I'm sure there is a mathematical formulae to work this out - but I just used trial and error - if anyone can find a better solution please post

G is in the 4 ball every round

C F A - B E G D

D F E – C G B A

F G B – D C E A

 

[Crow]

Swap D & G over in round 2

 

[bobmac]

You don't think one or more of your group might get a bit peeved having someone else decide who plays with who, unless of course you've been voted as 'man in charge of tee times and groups'?
And what happens if A doesn't want to play with B.......you get the blame.

Draw the names or throw up the balls, that way if A is drawn with B, god gets the blame

 

[Kennysarmy]

You don't think one or more of your group might get a bit peeved having someone else decide who plays with who, unless of course you've been voted as 'man in charge of tee times and groups'?
And what happens if A doesn't want to play with B.......you get the blame.

Draw the names or throw up the balls, that way if A is drawn with B, god gets the blame

Yes, I've got responsibility to sort out the competition and the groups etc etc - everyone gets on so no issues with anyone not wanting to play with anyone haha

 

[Kennysarmy]

C F A - B E G D

D F E – C G B A

F G B – D C E A

F is always in the 3 ball

 

[Kennysarmy]

Swap D & G over in round 2

Thanks, could work, I'm just at work but will look at that later.

 

[Kennysarmy]

Swap D & G over in round 2

I think.

Under my method:

A 3 3 4 not F
B 3 4 4 not D
C 3 4 3 not E
D 4 3 3 not B
E 4 3 4 not C
F 4 4 3 not A
G 4 4 4 everyone

Swapping D and G gives:

A 3 3 4 not D or F
B 3 4 4 everyone
C 3 4 3 not E or G
D 4 4 3 not A
E 4 3 4 not C
F 4 4 3 not A
G 4 3 4 not C


So I guess it's a question of do we want more playing with everyone at the detriment of one person always being in the 4-ball OR everyone gets at least one go in the 3-ball but the groups are n't as mixed up.

Unless there is another way haha

 

[Orikoru]

Does it matter if someone is in all three or four balls as long as they play with different people? Just make sure it's the slowest player who's always in a three.