SOLUTION: There will be 7 teams playing in the Maple Island Little League tournament. Each team is scheduled to play every other team once. How many games are scheduled for the tournament? N
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Question 1134110: There will be 7 teams playing in the Maple Island Little League tournament. Each team is scheduled to play every other team once. How many games are scheduled for the tournament? Not sure how to work this problem. Can you help me? Answer by greenestamps(13200) (Show Source):
Each of the 7 teams plays games against the 6 other teams. Counting all those games counts each game twice, because each game involves 2 teams.
So the number of games is (7*6)/2 = 21.
For a more formal mathematical approach to the problem, recognize that each game is a result of choosing 2 of the 7 teams in the tournament. And "7 choose 2" is
