Question: In a league of 5 teams, each team plays every other team twice. How many total matches are played?
Options:
20
10
15
25
Correct Answer: 20
Solution:
Each team plays 4 other teams twice, so total matches = 5 * 4 / 2 * 2 = 20.
In a league of 5 teams, each team plays every other team twice. How many total m
Practice Questions
Q1
In a league of 5 teams, each team plays every other team twice. How many total matches are played?
20
10
15
25
Questions & Step-by-Step Solutions
In a league of 5 teams, 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 between two teams is played twice (home and away). So, for each pair of teams, there are 2 matches.
Step 4: Calculate the total number of unique pairs of teams. The formula for this is (number of teams * (number of teams - 1)) / 2. Here, it is (5 * 4) / 2 = 10 pairs.
Step 5: Since each pair of teams plays 2 matches, multiply the number of pairs by 2. So, total matches = 10 pairs * 2 matches = 20 matches.
Combinatorial Counting – Understanding how to count the number of matches in a round-robin tournament format.
Multiplication and Division – Applying multiplication to calculate total matches and division to avoid double counting.
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