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?
Practice Questions
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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?
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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.
Questions & Step-by-step Solutions
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Q
Q: 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?
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.
Steps: 5
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.
