In a recent chess tournament, each player played against every other player exac
Practice Questions
Q1
In a recent chess tournament, each player played against every other player exactly once. If there were 10 players in total, how many games were played? (2023)
45
90
100
50
Questions & Step-by-Step Solutions
In a recent chess tournament, each player played against every other player exactly once. If there were 10 players in total, how many games were played? (2023)
Step 1: Identify the total number of players in the tournament. In this case, there are 10 players.
Step 2: Understand that each player plays against every other player exactly once.
Step 3: Use the formula for calculating the number of games in a round-robin tournament, which is n(n-1)/2.
Step 4: Substitute the number of players (n) into the formula. Here, n = 10.
Step 5: Calculate (10 - 1), which equals 9.
Step 6: Multiply 10 by 9 to get 90.
Step 7: Divide 90 by 2 to find the total number of games played, which equals 45.
