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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. How many matches are played in total?
28
56
14
8
Questions & Step-by-Step Solutions
In a round-robin tournament with 8 teams, each team plays every other team once. How many matches are played in total?
Steps
Concepts
Step 1: Identify the number of teams in the tournament. Here, there are 8 teams.
Step 2: Understand that in a round-robin tournament, each team plays every other team exactly once.
Step 3: Use the formula for calculating the total number of matches, which is n(n-1)/2, where n is the number of teams.
Step 4: Substitute the number of teams into the formula. Here, n = 8.
Step 5: Calculate (8-1), which equals 7.
Step 6: Multiply 8 by 7 to get 56.
Step 7: Divide 56 by 2 to find the total number of matches, which equals 28.
No concepts available.
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