# Five-Round Pairings

*If the number of players is not divisible by six,
then one division may have eight or ten players. If the number
of players is odd, one division will have a bye.*

## Groups of Six Players

Players are numbered 1, 2, 3, 4, 5 and 6.

Round 1 pairings: 1-6, 2-3, 4-5.

Round 2 pairings: 1-5, 2-4, 3-6.

Round 3 pairings: 1-4, 2-6, 3-5.

Round 4 pairings: 1-3, 2-5, 4-6.

Round 5 pairings: 1-2, 3-4, 5-6.

## Groups of Eight Players

*Players are numbered 1, 2, 3, 4, 5, 6, 7 and 8. In the
first three rounds, two groups of four players play round robins,
and may want to all sit near each other.*

Round 1 pairings: 1-7, 3-5, 2-8, 4-6.

Round 2 pairings: 1-5, 3-7, 2-6, 4-8.

Round 3 pairings: 1-3, 5-7, 2-4, 6-8.

*Based on Round 3 standings, players are assigned "pairings
letters". The highest ranked among 1,3,5,7 is called A, followed by
B, C and D. The players formerly known as 2,4,6,8 are named
E, F, G and H according to their current standings.*

Round 4 pairings: A-F, B-E, C-H, D-G.

Round 5 pairings: A-E, B-F, C-G, D-H

## Groups of Ten Players

*Players are numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.*

Round 1 pairings: 1-9, 2-6, 3-7, 4-5, 8-10

Round 2 pairings: 1-7, 2-3, 4-10, 5-9, 6-8

Round 3 pairings: 1-5, 2-10, 3-9, 4-8, 6-7

Round 4 pairings: 1-3, 2-4, 5-8, 6-10, 7-9

Round 5 pairings: King-of-the-Hill, repeats possible.

John Chew <jjchew@math.utoronto.ca>