Question 5
Answer all ten questions and show detailed solutions. Printed time 60 minutes; each question 4 points. Subcriterion allocations are editorial.
In the first stage of a baseball competition, teams are divided into groups of four. Each team plays each other team once. A group table records wins, draws, defeats, runs scored and runs against. A win earns 3 points, a draw 1 and a defeat 0. Here is part of a group table:
| Team | Runs scored | Runs against | Points |
|---|---:|---:|---:|
| A |2|2|4|
| B |4|4|6|
| C |2|1|4|
| D |1|2|2|
Find the result and score of all six matches: A:B; A:C; A:D; B:C; B:D; C:D. Use the source's stated draw/scoring rules.
In the first stage of a baseball competition, teams are divided into groups of four. Each team plays each other team once. A group table records wins, draws, defeats, runs scored and runs against. A win earns 3 points, a draw 1 and a defeat 0. Here is part of a group table:
| Team | Runs scored | Runs against | Points |
|---|---:|---:|---:|
| A |2|2|4|
| B |4|4|6|
| C |2|1|4|
| D |1|2|2|
Find the result and score of all six matches: A:B; A:C; A:D; B:C; B:D; C:D. Use the source's stated draw/scoring rules.