# Bridge & other card games/Bridge rotation

Question
QUESTION: I would like a party bridge rotation for 20 teams/pairs to play 8 times a year no repeats.

Assign each team/pair a number from 1-20.

Session          Team matchups

1         20-1 19-2 18-3 17-4 16-5 15-6 14-7 13-8 12-9 11-10
2         20-2  1-3 19-4 18-5 17-6 16-7 15-8 14-9 13-10 12-11
3         20-3  2-4  1-5 19-6 18-7 17-8 16-9 15-10 14-11 13-12
4         20-4  3-5  2-6  1-7 19-8 18-9 17-10 16-11 15-12 14-13
5         20-5  4-6  3-7  2-8  1-9 19-10 18-11 17-12 15-13 15-14
6         20-6  5-7  4-8  3-9 2-10 1-11 19-12 18-13 17-14 16-15
7         20-7  6-8  5-9 4-10 3-11 2-12  1-13 19-14 18-15 17-16
8         20-8  7-9 6-10 5-11 4-12 3-13  2-14  1-15 19-16 18-17

---------- FOLLOW-UP ----------

QUESTION: This is great but 4 teams play at each separate house once each month for 8 months so I need to see if we can make a grid so that we play each pair/team only once. With 20 teams it should work out if we have 5 places/homes for each time we play.
Can you help. My tel# is 606 5692244

Hi,

Not sure that I understand the question. If each team plays only one other team every month then the grid I supplied will work. Just allocate 4 teams to each house. However, if every month each team plays against all of the three other teams at the same location then it will end up playing 24 different teams...3 teams per month x 8 months. Since there are only 20 teams, there will have to be some repeats. In this case I am unable to supply the best arrangement of allocating teams to houses. Sorry.

Bridge & other card games