Since there were 6 teams in a baseball tournament, and each team played against every other team exactly once during the tournament, and a team earned 2 points for a win, 1 point for a tie, and 0 points for a loss, to determine what was the total number of points earned by all 6 teams in the tournament, since a series of results have not been raised, the following table should be made:
- Possible outcomes:
- 5 wins = 5 x 2 = 10
- 4 wins and 1 a draw = 4 x 2 + 1 = 9
- 4 wins and 1 loss = 4 x 2 = 8
- 3 wins and 2 draws = 3 x 2 + 2 x 1 = 8
- 3 wins, 1 draw and 1 loss = 3 x 2 + 1 = 7
- 3 wins and 2 losses = 3 x 2 = 6
- 2 wins and 3 draws = 2 x 2 + 3 x 1 = 7
- 2 wins, 2 draws and 1 loss = 2 x 2 + 2 x 1 = 6
- 2 wins, 1 draw and 2 losses = 2 x 2 + 1 = 5
- 2 wins and 3 losses = 2 x 2 = 4
- 1 win and 4 draws = 2 x 1 + 4 x 1 = 6
- 1 win, 3 draws and 1 loss = 2 x 1 + 3 x 1 = 5
- 1 win, 2 draws and 2 losses = 2 x 1 + 2 x 1 = 4
- 1 win, 1 draw and 3 losses = 2 x 1 + 1 x 1 = 3
- 1 win and 4 losses = 2 x 1 = 2
- 5 draws = 5 x 1 = 5
- 4 draws and 1 loss = 4 x 1 = 4
- 3 draws and 2 losses = 3 x 1 = 3
- 2 draws and 3 losses = 2 x 1 = 2
- 1 draw and 4 loss = 4 x 1 = 1
- 5 losses = 0
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