If a basketball tournament has 10 teams and each team plays every other team twi

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Question: If a basketball tournament has 10 teams and each team plays every other team twice, how many total games are played?

Options:

Correct Answer: 90

Solution:

The total number of games is calculated as 10 teams * 9 opponents * 2 games = 90.

If a basketball tournament has 10 teams and each team plays every other team twice, how many total games are played?

If a basketball tournament has 10 teams and each team plays every other team twice, how many total games are played?

Step 1: Understand that there are 10 teams in the tournament.
Step 2: Each team plays every other team. Since there are 10 teams, each team has 9 other teams to play against.
Step 3: Each team plays against each of the 9 other teams twice.
Step 4: Calculate the total number of games for one team: 9 opponents * 2 games = 18 games.
Step 5: Since there are 10 teams, multiply the total games for one team by the number of teams: 10 teams * 18 games = 180 games.
Step 6: However, this counts each game twice (once for each team), so divide by 2 to get the actual number of games: 180 games / 2 = 90 games.

Combinatorial Counting – Understanding how to calculate the total number of games played in a round-robin tournament format.
Multiplication and Division – Applying multiplication to find the total number of games based on teams and matches.