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In a league of 10 teams, if each team plays 4 matches, how many total matches ar

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Question: In a league of 10 teams, if each team plays 4 matches, how many total matches are played?

Options:

  1. 20
  2. 40
  3. 30
  4. 10

Correct Answer: 20

Solution:

Each match involves 2 teams, so the total number of matches = (10 teams * 4 matches) / 2 = 20.

In a league of 10 teams, if each team plays 4 matches, how many total matches ar

Practice Questions

Q1
In a league of 10 teams, if each team plays 4 matches, how many total matches are played?
  1. 20
  2. 40
  3. 30
  4. 10

Questions & Step-by-Step Solutions

In a league of 10 teams, if each team plays 4 matches, how many total matches are played?
  • Step 1: Understand that there are 10 teams in the league.
  • Step 2: Each team plays 4 matches.
  • Step 3: Calculate the total number of matches played by all teams: 10 teams * 4 matches = 40 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 matches played, divide the total by 2: 40 matches / 2 = 20 matches.
  • Counting Matches – Understanding how to calculate the total number of matches played based on the number of teams and matches per team.
  • Division by Teams – Recognizing that each match involves two teams, necessitating division by 2 to avoid double counting.
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