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In a round-robin tournament with 8 teams, each team plays every other team once.

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Question: In a round-robin tournament with 8 teams, each team plays every other team once. If Team X won 5 matches, what is the maximum number of matches Team X could have lost?

Options:

  1. 2
  2. 3
  3. 1
  4. 0

Correct Answer: 3

Solution: 

In a round-robin format with 8 teams, each team plays 7 matches. If Team X won 5, it could have lost a maximum of 2 matches.

In a round-robin tournament with 8 teams, each team plays every other team once.

Practice Questions

Q1
In a round-robin tournament with 8 teams, each team plays every other team once. If Team X won 5 matches, what is the maximum number of matches Team X could have lost?
  1. 2
  2. 3
  3. 1
  4. 0

Questions & Step-by-Step Solutions

In a round-robin tournament with 8 teams, each team plays every other team once. If Team X won 5 matches, what is the maximum number of matches Team X could have lost?
  • Step 1: Understand that in a round-robin tournament with 8 teams, each team plays every other team once.
  • Step 2: Calculate how many matches each team plays. Since there are 8 teams, each team plays 7 matches (one against each of the other 7 teams).
  • Step 3: Note that Team X won 5 matches.
  • Step 4: To find out how many matches Team X could have lost, subtract the number of matches won from the total matches played: 7 matches - 5 wins = 2 matches.
  • Step 5: Therefore, the maximum number of matches Team X could have lost is 2.
  • Round-Robin Tournament Structure – In a round-robin tournament, each team plays every other team exactly once, leading to a total of n(n-1)/2 matches for n teams.
  • Match Outcomes – Understanding the relationship between wins, losses, and total matches played is crucial for determining the maximum losses.
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