Question: If a football tournament has 16 teams and each team plays 4 matches, how many total matches are played?
Options:
32
64
48
56
Correct Answer: 48
Solution:
Each match involves 2 teams, so the total number of matches is (16 teams * 4 matches) / 2 = 32.
If a football tournament has 16 teams and each team plays 4 matches, how many to
Practice Questions
Q1
If a football tournament has 16 teams and each team plays 4 matches, how many total matches are played?
32
64
48
56
Questions & Step-by-Step Solutions
If a football tournament has 16 teams and each team plays 4 matches, how many total matches are played?
Step 1: Understand that there are 16 teams in the tournament.
Step 2: Each team plays 4 matches.
Step 3: Calculate the total number of matches played by all teams: 16 teams * 4 matches = 64 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: 64 matches / 2 = 32 matches.
Understanding Match Count – The question tests the ability to calculate the total number of matches based on the number of teams and matches played by each team.
Division in Counting Matches – It assesses the understanding that each match involves two teams, requiring division to avoid double counting.
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