The document describes the rules for determining the schedule of games in a round-robin tournament with a varying number of teams. It provides examples of tournaments with 3 to 16 teams and calculates the number of games, byes, and lines required based on the formula (N-1)^2, where N is the number of teams. The winner must defeat a specific opponent twice in order to become the champion in each example.
1. Tadeo A. Rosalia 4-BPE-SPE
1
2
BYE
G1
G2
3
W1L1
L1
G3
W2
L2
W3
W3 W2
vs.
G4
3 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (3 – 1)2 = 4 – 3
= (2)2 = 1 Bye
= 4 Games
3
Note: W3 must defeat W2 twice in order to become the
champion.
G - GAMES
W - Winner
Numbers - # of Teams
2. Tadeo A. Rosalia 4-BPE-SPE
1
2
3
4
G1
G2
G3
G4
G5
W1
W2
W3W4
W5
L1
L2
L3
Note: W5 must defeat W3 twice in order to become the
champion.
W5 W3
vs.
G6
4 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (4 – 1)2 = 4 – 4
= (3)2 = no bye
= 6 Games
G - GAMES
W - Winner
Numbers - # of Teams
3. Tadeo A. Rosalia 4-BPE-SPE
1
2
BYE
BYE
BYE
3
4
5
G1
3
4
5
G2
G3
W1
W3
W2
L1
L1
L2
L3
L3
G4
G5 W5
W4
G6
W6
L5
G7
W7
W7 W5
G8
vs.
Note: W7 must defeat W5 twice in order to become the
champion.
5 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (5 – 1)2 = 8 – 5
= (4)2 = 3 Byes
= 8 Games
G - GAMES
W - Winner
Numbers - # of Teams
4. Tadeo A. Rosalia 4-BPE-SPE
1
2
3
4
5
6
BYE
BYE
G1
G2
G4
G3
3
4
W1
W3
W4
W2
L1
L3
L4
L1
L2
L2
G5
G6
W5
W6
G7 W7
L7
G8
G9
W8
W9
W9 W7
Vs.
G10
Note: W9 must defeat W7 twice in order to become the
champion.
6 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (6 – 1)2 = 8 – 6
= (5)2 = 2 Byes
= 10 Games
G - GAMES
W - Winner
Numbers - # of Teams
5. Tadeo A. Rosalia 4-BPE-SPE
1
2
3
4
5
6
7
BYE
G1
G2
G3
G4
G5
W1
W4
W2
W3
W5
7
L1
L2
L3
L4
L5
L3
G6
G7
G8
W6
W8
W7
G9
G10
W9W10
L9
G11
W11
W11 W9
Vs.
G12
Note: W11 must defeat W9 twice in order to become the
champion.
7 TEAMS
(N – 1)2 = # of games # of lines – N
= # of bye(s)
= (7 – 1)2 = 8 – 7
= (6)2 = 1 Byes
= 12 Games
G - GAMES
W - Winner
Numbers - # of Teams
6. Tadeo A. Rosalia 4-BPE-SPE
1
2
3
4
5
6
7
8
G1
G2
G3G3
G4
G5
G6
W1
W2
W3
W4
W5
W6
L1
L2
L6
L5
La3
L4
G7
G8
W7
W8
G9
G10
G11 W11
L11
G12
W9
W10
G13
W12
W13
W13 W11
Vs.
G14
Note: W13 must defeat W11 twice in order to become
the champion.
8 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (8 – 1)2 = 8 – 8
= (7)2 = 0 Byes
= 14 Games
G - GAMES
W - Winner
Numbers - # of Teams
7. Tadeo A. Rosalia 4-BPE-SPE
1
2
BYE
BYE
BYE
BYE
BYE
BYE
BYE
3
4
5
6
7
8
9
G1
3
4
5
6
7
8
9
G2
G3
G4
G5
W1
W2
W3
W4
L1
L2
L5
L3
aL4
L1
L4
L3
G6
L5
W6
G7
W7
G8
W9
W5
G9
G10
L10
L9
G11
G12
W12
W11
G13 W13
La13
G14
W14
G15
Wa15
W15 Wa13
Vs.
G16
Note: W15 must defeat W13 twice in order to become
the champion.
W9
W10
9 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (9 – 1)2 = 16 – 9
= (8)2 = 7 Byes
= 16 Games
G - GAMES
W - Winner
Numbers - # of Teams
8. Tadeo A. Rosalia 4-BPE-SPE
BYE
BYE
BYE
BYE
BYE
BYE
1
2
3
4
5
6
77
8
9
10
G1
G2
3
4
5
6
7
8
G3
G4
G5
G6
W1
W5
W3
W4
W6
W2
L1
L3
L5
L6
L4
L1
L2
L2
G7
G8
L5
L6
W8
W7
G9
G10
L10
L9
G11
G12
W9
W10
W11
W12
G13
G14
W13
W14
G15 W15
G16
L15
G17
W16
W17
W17 W15
vs.
G18
Note: W17 must defeat W15 twice in order to become
the champion.
10 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (10 – 1)2 = 16 – 10
= (9)2 = 6 Byes
= 18 Games
G - GAMES
W - Winner
Numbers - # of Teams
9. Tadeo A. Rosalia 4-BPE-SPE
BYE
BYE
BYE
BYE
BYE
1
2
3
4
5
6
7
8
9
10
11
W1
G1
G2
G3
3
6
7
10
11
W2
W3
G4
W4
G5
W5
G6
G7
W6
W7
L1
L1
L6
L5
L2
L2
L3
L3
L4
L7
L7
G10
G9
G8
W10
W9
W8
G11
G12 W12
W11
L11
L12
G13
G14
W13
W14
G15
G16
W16
W15
G17 W17
L17
G18
W18
G19
W19
W19 W17
vs.
G20
Note: W19 must defeat W17 twice in order to become
the champion.
11 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (11 – 1)2 = 16 – 11
= (10)2 = 5 Byes
= 20 Games
G - GAMES
W - Winner
Numbers - # of Teams
10. Tadeo A. Rosalia 4-BPE-SPE
BYE
BYE
BYE
BYE
1
2
3
4
5
6
7
8
9
10
11
12
G1
G2
G3
G4
3
4
9
10
G5
G6
G7
G8
W1
W5
W6
W2
W3
W7
W8
L1
L1
L6
L5
L2
L2
L3
L3
L8
La7
L4
L4
G10
G9
G12
G11
G13
W10
W9
W12
W11
G14
L14
L13
G15
G16
W15
W16
G17
G18
W17
Wa18
G19 W19
L19
G20
G21
Wa20
W21
W21 W19
Vs.
G22
Note: W21 must defeat W19 twice in order to become
the champion.
12 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (12 – 1)2 = 16 – 12
= (11)2 = 4 Byes
= 22 Games
G - GAMES
W - Winner
Numbers - # of Teams
11. Tadeo A. Rosalia 4-BPE-SPE
BYE
BYE
BYE
1
2
3
4
5
6
7
8
9
10
11
12
13
W1
G1
G2
G3
G4
G5
W2
W3
W4
7
8
13
G6
G7
G8
G9
W6
W7
W8
W9
L1
L2
L3
L3
L6
L7
L4
L4
L9
L8
L5
L5
G10
G11
G12
G13
G14
W10
W14
W11
W13
W12
G17
G15
G16
W15
W16
L15
L16
G18
G19
G20
W18
W20
W19
W17
G21 W21
L21
G22
G23
W22
W23
W23 W21
Vs.
G24
Note: W23 must defeat W21 twice in order to become
the champion.
13 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (13 – 1)2 = 16 – 13
= (12)2 = 3 Byes
= 24 Games
G - GAMES
W - Winner
Numbers - # of Teams
12. Tadeo A. Rosalia 4-BPE-SPE
BYE
BYE
1
2
3
4
5
6
7
8
9
10
11
12
13
14
G1
G2
G3
G4
G5
G6
W1
W2
W3
W4
W5
W6
7
8
G7
G8
G9
G10
W7
W8
W9
W10
L1
L2
L3
L3
L7
L8
L4
L4
L10
L9
L5
L6
G11
G12
G13
G14
W11
W13
W14
W12
G15
G16
W16
W15
G17
G18
W18
W17
L17
L18
G19
G20
W19
W20
G21
G22
W21
W22
G23 W23
L23
G24
G25
W24
W25
W25 W23
Vs.
G26
Note: W25 must defeat W23 twice in order to become
the champion.
14 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (14 – 1)2 = 16 – 14
= (13)2 = 2 Byes
= 26 Games
G - GAMES
W - Winner
Numbers - # of Teams
13. Tadeo A. Rosalia 4-BPE-SPE
BYE
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
W1
G1
G2
G3
G4
G5
G6
G7
15
W2
W3
W4
W5
W6
W7
G8
G9
G10
G11
W11
W10
W9
W8
L1
L2
L3
L8
L9
L4
L5
L6
L7
L10
L11
L10
L7
G12
G13
G14
G15
G16
W12
W16
W13
W14
W15
G17
G18
W17
W18
G19
G20
L19
L20
W19
W20
G21G21
G22
G23
W21
G24
W23
W24
G25
G26
W25W26
G27
W27
W27 W25
Vs.
G28
Note: W27 must defeat W25 twice in order to
become the champion.
15 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (15 – 1)2 = 16 – 15
= (14)2 = 1 Bye
= 28 Games
G - GAMES
W - Winner
Numbers - # of Teams
14. Tadeo A. Rosalia 4-BPE-SPE
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
G1
G2
G3
G4
G5
G6
G7
G8
G9
G10
G11
G12
W1
W2
W3
W4
W5
W6
W7
W8
W12
W11
W10
W9
L1
L2
L3
L4
L5
L6
L7
L8
G13
G14
G15
G16
L10
L9
W13
W14
W15
W16
L11
L12
G17
G18
G19
G20
W17
W18
W19
W20
G21
G22
W22
W21
G23
G24
W24
W23
L22
L21
G25
G26
W26
W25
G27 W27
L27
G28
W28
G29
W29
W29 W27
Vs.
G30
Note: W29 must defeat W27 twice in order to become
the champion.
16 TEAMS
(N – 1)2 = # of games # of lines – N = # of bye(s)
= (16 – 1)2 = 16 – 16
= (15)2 = 0 Bye
= 30 Games
G - GAMES
W - Winner
Numbers - # of Teams