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In a league of 12 teams, if each team plays 5 matches, how many total matches ar

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Question: In a league of 12 teams, if each team plays 5 matches, how many total matches are played?

Options:

  1. 30
  2. 60
  3. 25
  4. 50

Correct Answer: 30

Solution: 

Each match involves 2 teams, so total matches = (12 teams * 5 matches) / 2 = 30.

In a league of 12 teams, if each team plays 5 matches, how many total matches ar

Practice Questions

Q1
In a league of 12 teams, if each team plays 5 matches, how many total matches are played?
  1. 30
  2. 60
  3. 25
  4. 50

Questions & Step-by-Step Solutions

In a league of 12 teams, if each team plays 5 matches, how many total matches are played?
  • Step 1: Understand that there are 12 teams in the league.
  • Step 2: Each team plays 5 matches.
  • Step 3: Calculate the total number of matches played by all teams together: 12 teams * 5 matches = 60 matches.
  • Step 4: Realize that each match involves 2 teams, so we have counted each match twice.
  • Step 5: To find the actual number of unique matches, divide the total by 2: 60 matches / 2 = 30 matches.
  • Counting Matches – Understanding how to calculate the total number of matches played in a league based on the number of teams and matches per team.
  • Division by Two – Recognizing that each match involves two teams, necessitating division by two to avoid double counting.
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