Question

10 teams enter a soccer tournament. In the first round teams paired in 5 pairs to play with each other. Assume that now in each match one of the teams is marked as "HOME" and the other "AWAY" and first 5 games need to run one after another. How many different pairings are possible to create?

Answer 1

The number of different pairings in the soccer tournament is 226,800.

Step-by-step explanation:

The number of different pairings that can be created can be found using combinations. In the first round, there will be 5 pairs of teams playing each other. The number of ways to choose the first pair is 10 choose 2 (10C2), the number of ways to choose the second pair is 8 choose 2 (8C2), and so on. Therefore, the total number of different pairings is:

10C2 * 8C2 * 6C2 * 4C2 * 2C2 = 45 * 28 * 15 * 6 * 1 = 226,800

So, there are 226,800 different pairings that can be created.