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?
  1. 28
  2. 56
  3. 14
  4. 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?
  • 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.
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