Question

There are 14 teams in a basketball league. Each team plays every other team twice during the season. Say that you want to determine how many games (in total) are played. How many games, in total, are played during the season?

A. 182
B. 196
C. 364
D. 392

Answer 1

To find the total number of games played in a basketball league with 14 teams playing each other twice, we use the combination formula n(n - 1) / 2 and then double the result, which gives us a total of 182 games.

Step-by-step explanation:

To determine how many games are played in a basketball league with 14 teams where each team plays every other team twice, we can use the formula for combinations to calculate the total number of unique games, and then double that number because they play each other twice. The formula is n(n - 1) / 2, where n is the number of teams:

• First, calculate the number of unique games: 14(14 - 1) / 2 = 14(13) / 2 = 91 games.
• Since each pair of teams plays twice, double the number of games: 91 * 2 = 182 games.

Therefore, the total number of games played during the season is 182.