In a hockey league there are 10 teams. Each team plays every other team once .…
2025
In a hockey league there are 10 teams. Each team plays every other team once . If we can play 5 games every week , how many weeks long is one season ?
- A.
8
- B.
9
- C.
18
- D.
20
Attempted by 14 students.
Show answer & explanation
Correct answer: B
Answer: 9
Number of matches when each of n teams plays every other team once is given by n(n-1)/2.
For 10 teams: 10 × 9 ÷ 2 = 45 matches.
With 5 matches per week: 45 ÷ 5 = 9 weeks.
Note: A common mistake is to compute 10×9 = 90 and divide by 5 to get 18. That counts each match twice, so you must divide by 2 first to get the correct number of matches.