Question 559730: I was able to get the answer for this word problem but went the long way to get it. How would u work the problem? This is from an accelerated computer math program at my child's school & he doesn't have a book. What element of math is this called?
The question is: 8 teams are playing in a tournament. In the first round, each team plays each of the other teams once. How many games are played in the first round of the tournament?
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! This would probably be classified in a field of math called "combinatorics."
Each team plays 7 games, so intuitively the number of games would be 8*7 = 56. However, we are counting each game twice (e.g. team 1 & team 6, team 6 & team 1) so we divide by 2 to get 28. Using combinatorics, the number of games would be 8C2 = 8*7/2! = 28.
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