How Many Matches Are Played When 7 Teams Compete Against Each Other?

Learn how to calculate the total number of matches played if 7 teams each play one match against every other team using the combination formula.

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21 matches will be played if 7 teams play each other. Each team plays against all the other teams once, leading to a combination formula calculation, which is C(n, 2) = n(n-1)/2, where n is the number of teams. Here, n=7, so the calculation is 7*6/2 = 21.

FAQs & Answers

  1. How do you calculate the total matches in a round-robin tournament? In a round-robin tournament where each team plays every other team once, the total matches can be calculated using the formula n(n-1)/2, where n is the number of teams.
  2. What is the total number of matches if 10 teams compete against each other once? Using the formula n(n-1)/2, for 10 teams the total matches are 10*9/2 = 45 matches.
  3. Why is the combination formula used to calculate the number of matches? The combination formula C(n, 2) calculates the number of unique pairs that can be formed from n teams, which corresponds to the number of matches where each team plays every other team once.