Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

14.35: a baseball league has nine teams. during the season, each of the nine teams plays exactly three games with each of the other teams. what is the total number of games played?

Sagot :

Answer:

One team must play 8 games 3 times equals 24 games

One team must play 24 games

But each game uses 2 teams so there are 12 games in all

Or 9 * 24 / 2 = 108 games

Check: If there were 3 teams then one team must play

2 games 3 times  for a total of 6 times so the total of games played will be six for each team or 18 games, but each game uses 2 teams so the total of games is nine:  1-2, 2-3, 1-3 (each team has played its opponent once) - 3 * 3 = 9

T = number of teams in league

(T - 1)    1 team plays each other once

(T - 1) * T  each team has played 1 game for entire league

(T - 1) * T / 2   total games to be played for 1 game each

G *  (T - 1) * T / 2     where G is number of games

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.