In a league of 5 teams, if each team plays every other team twice, how many tota

Practice Questions

Q1
In a league of 5 teams, if each team plays every other team twice, how many total matches are played?
  1. 10
  2. 20
  3. 15
  4. 25

Questions & Step-by-Step Solutions

In a league of 5 teams, if each team plays every other team twice, how many total matches are played?
  • Step 1: Identify the number of teams in the league. There are 5 teams.
  • Step 2: Each team plays every other team. Since there are 5 teams, each team plays against 4 other teams.
  • Step 3: Each match is played twice (home and away). So, for each team, the number of matches played is 4 (other teams) times 2 (for each match).
  • Step 4: Calculate the total matches played by all teams: 5 teams * 4 matches = 20 matches.
  • Step 5: Since each match is counted twice (once for each team), we divide by 2 to avoid double counting: 20 / 2 = 10 unique matches.
  • Step 6: Multiply the unique matches by 2 (since each match is played twice): 10 * 2 = 20 total matches.
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