Round rubin

Tadeo A. Rosalia 4BPE-SPE
3 TEAMS
GAME ROUND 1 GAME ROUND 2 GAME ROUND
3
BYE 3 BYE 2 BYE 1
1 1 vs. 2 2 3 vs. 1 3 2 vs. 3
=
(N − 1)N
2
=
(3 − 1)3
2
=
(2)3
2
=
6
2
= 3 𝐺𝐴𝑀𝐸𝑆
G - GAMES
R - ROUNDS
Numbers - # of Teams

4 TEAMS
GAME ROUND 1 GAME ROUND 2 GAME ROUND 3
1 1 vs. 4 3 1 vs. 3 5 1 vs. 2
2 2 vs. 3 4 4 vs. 2 6 3 vs. 4
4 TEAMS
(N - 1) N = # of games
2
= (4 - 1) 4
2
= (3) 4
2
= 12
2
= 6 Games
G - GAMES
R - ROUNDS

5 TEAMS
BYE 5 BYE 4 BYE 3
1 1 vs. 4 3 5 vs. 3 5 4 vs. 2
2 2 vs. 3 4 1 vs. 2 6 5 vs. 1
GAME ROUND 4 GAME ROUND 5
BYE 2 BYE 1
7 3 vs. 1 9 2 vs. 5
8 4 vs. 5 10 3 vs. 4 5 TEAMS
2
= (5 - 1) 5
2
= (4) 5
2
= 20
2
= 10 Games
G - GAMES
R - ROUNDS

6 TEAMS
1 1 vs. 6 4 1 vs. 5 7 1 vs. 4
2 2 vs. 5 5 6 vs. 4 8 5 vs. 3
3 3 vs. 4 6 2 vs. 3 9 6 vs. 2
10 1 vs. 3 13 1 vs. 2
11 4 vs. 2 14 3 vs. 6
12 5 vs. 6 15 4 vs. 5
6 TEAMS
2
= (6 - 1) 6
2
= (5) 6
2
= 30
2
= 15 Games
G - GAMES
R - ROUNDS

7 TEAMS
BYE 7 BYE 6 BYE 5
1 1 vs. 6 4 7 vs. 5 7 6 vs. 4
2 2 vs. 5 5 1 vs. 4 8 7 vs. 3
3 3 vs. 4 6 2 vs. 3 9 1 vs. 2
BYE 4 BYE 3 BYE 2
10 5 vs. 3 13 4 vs. 2 16 3 vs. 1
11 6 vs. 2 14 5 vs. 1 17 4 vs. 7
12 7 vs. 1 15 6 vs. 7 18 5 vs. 6
GAME ROUND 7
BYE 1
19 2 vs. 7
20 3 vs. 6
21 4 vs. 5
7 TEAMS
2
= (7 - 1) 7
2
= (6) 7
2
= 42
2
= 21 Games
G - GAMES
R - ROUNDS

8 TEAMS
1 1 vs. 8 5 1 vs. 7 9 1 vs. 6
2 2 vs. 7 6 8 vs. 6 10 7 vs. 5
3 3 vs. 6 7 2 vs. 5 11 8 vs. 4
4 4 vs. 5 8 3 vs. 4 12 2 vs. 3
13 1 vs. 5 17 1 vs. 4 21 1 vs. 3
14 6 vs. 4 18 5 vs. 3 22 4 vs. 2
15 7 vs. 3 19 6 vs. 2 23 5 vs. 8
16 8 vs. 2 20 7 vs. 8 24 6 vs. 7
GAME ROUND 7
25 1 vs. 2
26 3 vs. 8
27 4 vs. 7
28 5 vs. 6
8 TEAMS
2
= (8 - 1) 8
2
= (7) 8
2
= 56
2
= 28 Games
G - GAMES
R - ROUNDS

9 TEAMS
BYE 6 BYE 5 BYE 4
13 7 vs. 5 17 6 vs. 4 21 5 vs. 3
14 8 vs. 4 18 7 vs. 3 22 6 vs. 2
15 9 vs. 3 19 8 vs. 2 23 7 vs. 1
16 1 vs. 2 20 9 vs. 1 24 8 vs. 9
BYE 9 BYE 8 BYE 7
1 1 vs. 8 5 9 vs. 7 9 8 vs. 6
2 2 vs. 7 6 1 vs. 6 10 9 vs. 5
3 3 vs. 6 7 2 vs. 5 11 1 vs. 4
4 4 vs. 5 8 3 vs. 4 12 2 vs. 3
BYE 3 BYE 2 BYE 1
25 4 vs. 2 29 3 vs. 1 33 2 vs. 9
26 5 vs. 1 30 4 vs. 9 34 3 vs. 8
27 6 vs. 9 31 5 vs. 8 35 4 vs. 7
28 7 vs. 8 32 6 vs. 7 36 5 vs. 6
9 TEAMS
(N - 1) N = # of
2 games
= (9 - 1) 9
2
= (8) 9
2
= 72
2
= 36 GamesG - GAMES
R - ROUNDS

10 TEAMS
16 1 vs. 7 21 1 vs. 6 26 1 vs. 5
17 8 vs. 6 22 7 vs. 5 27 6 vs. 4
18 9 vs. 5 23 8 vs. 4 28 7 vs. 3
19 10 vs. 4 24 9 vs. 3 29 8 vs. 2
20 2 vs. 3 25 10 vs. 2 30 9 vs. 10
1 1 vs. 10 6 1 vs. 9 11 1 vs. 8
2 2 vs. 9 7 10 vs. 8 12 9 vs. 7
3 3 vs. 8 8 2 vs. 7 13 10 vs. 6
4 4 vs. 7 9 3 vs. 6 14 2 vs. 5
5 5 vs. 6 10 4 vs. 5 15 3 vs. 4
31 1 vs. 4 36 1 vs. 3 41 1 vs. 2
32 5 vs. 3 37 4 vs. 2 42 3 vs. 10
33 6 vs. 2 38 5 vs. 10 43 4 vs. 9
34 7 vs. 10 39 6 vs. 9 44 5 vs. 8
35 8 vs. 9 40 7 vs. 8 45 6 vs. 7
10 TEAMS
(N - 1) N = # of
2 games
= (10 - 1) 10
2
= (9) 10
2
= 90
2
= 45 Games
G - GAMES
R - ROUNDS

11 TEAMS
BYE 11 BYE 10 BYE 9
1 1 vs. 10 6 11 vs. 9 11 10 vs. 8
2 2 vs. 9 7 1 vs. 8 12 11 vs. 7
3 3 vs. 8 8 2 vs. 7 13 1 vs. 6
4 4 vs. 7 9 3 vs. 6 14 2 vs. 5
5 5 vs. 6 10 4 vs. 5 15 3 vs. 4
BYE 8 BYE 7 BYE 6
16 9 vs. 7 21 8 vs. 6 26 7 vs. 5
17 10 vs. 6 22 9 vs. 5 27 8 vs. 4
18 11 vs. 5 23 10 vs. 4 28 9 vs. 3
19 1 vs. 4 24 11 vs. 3 29 10 vs. 2
20 2 vs. 3 25 1 vs. 2 30 11 vs. 1

11 TEAMS
BYE 5 BYE 4 BYE 3
31 6 vs. 4 36 5 vs. 3 41 4 vs. 2
32 7 vs. 3 37 6 vs. 2 42 5 vs. 1
33 8 vs. 2 38 7 vs. 1 43 6 vs. 11
34 9 vs. 1 39 8 vs. 11 44 7 vs. 10
35 10 vs. 11 40 9 vs. 10 45 8 vs. 9
BYE 2 BYE 1
46 3 vs. 1 51 2 vs. 11
47 4 vs. 11 52 3 vs. 10
48 5 vs. 10 53 4 vs. 9
49 6 vs. 9 54 5 vs. 8
50 7 vs. 8 55 6 vs. 7
10 TEAMS
(N - 1) N = # of
2 games
= (11 - 1) 11
2
= (10) 11
2
= 110
2
= 55 Games
G - GAMES
R - ROUNDS

12 TEAMS
1 1 vs. 12 7 1 vs. 11 13 1 vs. 10
2 2 vs. 11 8 12 vs. 10 14 11 vs. 9
3 3 vs. 10 9 2 vs. 9 15 12 vs. 8
4 4 vs. 9 10 3 vs. 8 16 2 vs. 7
5 5 vs. 8 11 4 vs. 7 17 3 vs. 6
6 6 vs. 7 12 5 vs. 6 18 4 vs. 5
19 1 vs. 9 25 1 vs. 8 31 1 vs. 7
20 10 vs. 8 26 9 vs. 7 32 8 vs. 6
21 11 vs. 7 27 10 vs. 6 33 9 vs. 5
22 12 vs. 6 28 11 vs. 5 34 10 vs. 4
23 2 vs. 5 29 12 vs. 4 35 11 vs. 3
24 3 vs. 4 30 2 vs. 3 36 12 vs. 2

12 TEAMS
37 1 vs. 6 43 1 vs. 5 49 1 vs. 4
38 7 vs. 5 44 6 vs. 4 50 5 vs. 3
39 8 vs. 4 45 7 vs. 3 51 6 vs. 2
40 9 vs. 3 46 8 vs. 2 52 7 vs. 12
41 10 vs. 2 47 9 vs. 12 53 8 vs. 11
42 11 vs. 12 48 10 vs. 11 54 9 vs. 10
55 1 vs. 3 61 1 vs. 2
56 4 vs. 2 62 3 vs. 12
57 5 vs. 12 63 4 vs. 11
58 6 vs. 11 64 5 vs. 10
59 7 vs. 10 65 6 vs. 9
60 8 vs. 9 66 7 vs. 8
12 TEAMS
(N - 1) N = # of
2 games
= (12 - 1) 12
2
= (11) 12
2
= 132
2
= 66 Games
G - GAMES
R - ROUNDS

13 TEAMS
BYE 13 BYE 12 BYE 11
1 1 vs. 12 7 13 vs. 11 13 12 vs. 10
2 2 vs. 11 8 1 vs. 10 14 13 vs. 9
3 3 vs. 10 9 2 vs. 9 15 1 vs. 8
4 4 vs. 9 10 3 vs. 8 16 2 vs. 7
5 5 vs. 8 11 4 vs. 7 17 3 vs. 6
6 6 vs. 7 12 5 vs. 6 18 4 vs. 5
BYE 10 BYE 9 BYE 8
19 11 vs. 9 25 10 vs. 8 31 9 vs. 7
20 12 vs. 8 26 11 vs. 7 32 10 vs. 6
21 13 vs. 7 27 12 vs. 6 33 11 vs. 5
22 1 vs. 6 28 13 vs. 5 34 12 vs. 4
23 2 vs. 5 29 1 vs. 4 35 13 vs. 3
24 3 vs. 4 30 2 vs. 3 36 1 vs. 2

13 TEAMS
BYE 4 BYE 3 BYE 2
55 5 vs. 3 61 4 vs. 2 67 3 vs. 1
56 6 vs. 2 62 5 vs. 1 68 4 vs. 13
57 7 vs. 1 63 6 vs. 13 69 5 vs. 12
58 8 vs. 13 64 7 vs. 12 70 6 vs. 11
59 9 vs. 12 65 8 vs. 11 71 7 vs. 10
60 10 vs. 11 66 9 vs. 10 72 8 vs. 9
BYE 7 BYE 6 BYE 5
37 8 vs. 6 43 7 vs. 5 49 6 vs. 4
38 9 vs. 5 44 8 vs. 4 50 7 vs. 3
39 10 vs. 4 45 9 vs. 3 51 8 vs. 2
40 11 vs. 3 46 10 vs. 2 52 9 vs. 1
41 12 vs. 2 47 11 vs. 1 53 10 vs. 13
42 13 vs. 1 48 12 vs. 13 54 11 vs. 12
GAME ROUND 13
BYE 1
73 2 vs. 13
74 3 vs. 12
75 4 vs. 11
76 5 vs. 10
77 6 vs. 9
78 7 vs. 8
13 TEAMS
(N - 1) N = # of
2 games
= (13 - 1) 13
2
= (12) 13
2
= 156
2
= 78 Games
G - GAMES
R - ROUNDS

14 TEAMS
1 1 vs. 14 8 1 vs. 13 15 1 vs. 12
2 2 vs. 13 9 14 vs. 12 16 13 vs. 11
3 3 vs. 12 10 2 vs. 11 17 12 vs. 10
4 4 vs. 11 11 3 vs. 10 18 2 vs. 9
5 5 vs. 10 12 4 vs. 9 19 3 vs. 8
6 6 vs. 9 13 5 vs. 8 20 4 vs. 7
7 7 vs. 8 14 6 vs. 7 21 5 vs. 6
22 1 vs. 11 29 1 vs. 10 36 1 vs. 9
23 12 vs. 10 30 11 vs. 9 37 10 vs. 8
24 13 vs. 9 31 12 vs. 8 38 11 vs. 7
25 14 vs. 8 32 13 vs. 7 39 12 vs. 6
26 2 vs. 7 33 14 vs. 6 40 13 vs. 5
27 3 vs. 6 34 2 vs. 5 41 14 vs. 4
28 4 vs. 5 35 3 vs. 4 42 2 vs. 3
43 1 vs. 8 50 1 vs. 7 57 1 vs. 6
44 9 vs. 7 51 8 vs. 6 58 7 vs. 5
45 10 vs. 6 52 9 vs. 5 59 8 vs. 4

64 1 vs. 5 71 1 vs. 4 78 1 vs. 3
65 6 vs. 4 72 5 vs. 3 79 4 vs. 2
66 7 vs. 3 73 6 vs. 2 80 5 vs. 14
67 8 vs. 2 74 7 vs. 14 81 6 vs. 13
68 9 vs. 14 75 8 vs. 13 82 7 vs. 12
69 10 vs. 13 76 9 vs. 12 83 8 vs. 11
70 11 vs. 12 77 10 vs. 11 84 9 vs. 10
GAME ROUND 13
85 1 vs. 2
86 3 vs. 14
87 4 vs. 13
88 5 vs. 12
89 6 vs. 11
90 7 vs. 10
91 8 vs. 9
46 11 vs. 5 53 10 vs. 4 60 9 vs. 3
47 12 vs. 4 54 11 vs. 3 61 10 vs. 2
48 13 vs. 3 55 12 vs. 2 62 11 vs. 14
49 14 vs. 2 56 13 vs. 14 63 12 vs. 13
14 TEAMS
(N - 1) N = # of
2 games
= (14 - 1) 14
2
= (13) 14
2
= 182
2
= 91 Games
G - GAMES
R - ROUNDS

15 TEAMS
1 1 vs. 14 8 15 vs. 13 15 14 vs. 12
2 2 vs. 13 9 1 vs. 12 16 15 vs. 11
3 3 vs. 12 10 2 vs. 11 17 1 vs. 10
4 4 vs. 11 11 3 vs. 10 18 2 vs. 9
5 5 vs. 10 12 4 vs. 9 19 3 vs. 8
6 6 vs. 9 13 5 vs. 8 20 4 vs. 7
7 7 vs. 8 14 6 vs. 7 21 5 vs. 6
22 13 vs. 11 29 12 vs. 10 36 11 vs. 9
23 14 vs. 10 30 13 vs. 9 37 12 vs. 8
24 15 vs. 9 31 14 vs. 8 38 13 vs. 7
25 1 vs. 8 32 15 vs. 7 39 14 vs. 6
26 2 vs. 7 33 1 vs. 6 40 15 vs. 5
27 3 vs. 6 34 2 vs. 5 41 1 vs. 4
28 4 vs. 5 35 3 vs. 4 42 2 vs. 3

15 TEAMS
BYE 9 BYE 8 BYE 7
43 10 vs. 8 50 9 vs. 7 57 8 vs. 6
44 11 vs. 7 51 10 vs. 6 58 9 vs. 5
45 12 vs. 6 52 11 vs. 5 59 10 vs. 4
46 13 vs. 5 53 12 vs. 4 60 11 vs. 3
47 14 vs. 4 54 13 vs. 3 61 12 vs. 2
48 15 vs. 3 55 14 vs. 2 62 13 vs. 1
49 1 vs. 2 56 15 vs. 1 63 14 vs. 15
BYE 6 BYE 5 BYE 4
64 7 vs. 5 71 6 vs. 4 78 5 vs. 3
65 8 vs. 4 72 7 vs. 3 79 6 vs. 2
66 9 vs. 3 73 8 vs. 2 80 7 vs. 1
67 10 vs. 2 74 9 vs. 1 81 8 vs. 15
68 11 vs. 1 75 10 vs. 15 82 9 vs. 14
69 12 vs. 15 76 11 vs. 14 83 10 vs. 13
70 13 vs. 14 77 12 vs. 13 84 11 vs. 12

BYE 3 BYE 2 BYE 1
85 4 vs. 2 92 3 vs. 1 99 2 vs. 15
86 5 vs. 1 93 4 vs. 15 100 3 vs. 14
87 6 vs. 15 94 5 vs. 14 101 4 vs. 13
88 7 vs. 14 95 6 vs. 13 102 5 vs. 12
89 8 vs. 13 96 7 vs. 12 103 6 vs. 11
90 9 vs. 12 97 8 vs. 11 104 7 vs. 10
91 10 vs. 11 98 9 vs. 10 105 8 vs. 9
15 TEAMS
(N - 1) N = # of
2 games
= (15 - 1) 15
2
= (14) 15
2
= 210
2
= 105 Games
G - GAMES
R - ROUNDS

16 TEAMS
1 1 vs. 16 9 1 vs. 15 17 1 vs. 14
2 2 vs. 15 10 16 vs. 14 18 15 vs. 13
3 3 vs. 14 11 2 vs. 13 19 16 vs. 12
4 4 vs. 13 12 3 vs. 12 20 2 vs. 11
5 5 vs. 12 13 4 vs. 11 21 3 vs. 10
6 6 vs. 11 14 5 vs. 10 22 4 vs. 9
7 7 vs. 10 15 6 vs. 9 23 5 vs. 8
8 8 vs. 9 16 7 vs. 8 24 6 vs. 7
25 1 vs. 13 33 1 vs. 12 41 1 vs. 11
26 14 vs. 12 34 13 vs. 11 42 12 vs. 10
27 15 vs. 11 35 14 vs. 10 43 13 vs. 9
28 16 vs. 10 36 15 vs. 9 44 14 vs. 8
29 2 vs. 9 37 16 vs. 8 45 15 vs. 7
30 3 vs. 8 38 2 vs. 7 46 16 vs. 6
31 4 vs. 7 39 3 vs. 6 47 2 vs. 5
32 5 vs. 6 40 4 vs. 5 48 3 vs. 4

49 1 vs. 10 57 1 vs. 9 65 1 vs. 8
50 11 vs. 9 58 10 vs. 8 66 9 vs. 7
51 12 vs. 8 59 11 vs. 7 67 10 vs. 6
52 13 vs. 7 60 12 vs. 6 68 11 vs. 5
53 14 vs. 6 61 13 vs. 5 69 12 vs. 4
54 15 vs. 5 62 14 vs. 4 70 13 vs. 3
55 16 vs. 4 63 15 vs. 3 71 14 vs. 2
56 2 vs. 3 64 16 vs. 2 72 15 vs. 16
73 1 vs. 7 81 1 vs. 6 89 1 vs. 5
74 8 vs. 6 82 7 vs. 5 90 6 vs. 4
75 9 vs. 5 83 8 vs. 4 91 7 vs. 3
76 10 vs. 4 84 9 vs. 3 92 8 vs. 2
77 11 vs. 3 85 10 vs. 2 93 9 vs. 16
78 12 vs. 2 86 11 vs. 16 94 10 vs. 15
79 13 vs. 16 87 12 vs. 15 95 11 vs. 14
80 14 vs. 15 88 13 vs. 14 96 12 vs. 13

16 TEAMS
97 1 vs. 4 105 1 vs. 3 113 1 vs. 2
98 5 vs. 3 106 4 vs. 2 114 3 vs. 16
99 6 vs. 2 107 5 vs. 16 115 4 vs. 15
100 7 vs. 16 108 6 vs. 15 116 5 vs. 14
101 8 vs. 15 109 7 vs. 14 117 6 vs. 13
102 9 vs. 14 110 8 vs. 13 118 7 vs. 12
103 10 vs. 13 111 9 vs. 12 119 8 vs. 11
104 11 vs. 12 112 10 vs. 11 120 9 vs. 10
16 TEAMS
(N - 1) N = # of
2 games
= (16 - 1) 16
2
= (15) 16
2
= 240
2
= 120 Games
G - GAMES
R - ROUNDS

Round rubin

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