In a round-robin format, each team plays every other team once. If there are 8 t

Practice Questions

Q1
In a round-robin format, each team plays every other team once. If there are 8 teams, how many games will be played?
  1. 28
  2. 56
  3. 14
  4. 21

Questions & Step-by-Step Solutions

In a round-robin format, each team plays every other team once. If there are 8 teams, how many games will be played?
  • Step 1: Understand that in a round-robin format, each team plays every other team exactly once.
  • Step 2: Identify the number of teams, which is 8 in this case.
  • Step 3: Use the formula for calculating the number of games: n(n-1)/2, where n is the number of teams.
  • Step 4: Substitute the number of teams into the formula: 8(8-1)/2.
  • Step 5: Calculate 8-1, which equals 7.
  • Step 6: Multiply 8 by 7, which equals 56.
  • Step 7: Divide 56 by 2, which equals 28.
  • Step 8: Conclude that a total of 28 games will be played.
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