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A league of 18 teams is playing a "round-robin" style tournament, where each team plays every other team exactly once. How many games total need to be played? SEE SCREENSHOT :)
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This is a simple arithmetic progression sum. Lets take an example. If there are 3 teams playing then a total of 3 matches are played. where each team has hence played 2 matches with each other once. If there are 4, each would play 3 matches. The number of matches is found by - no. of teams x no of matches by each/2 which is 4x3/2 = 6 if number of teams = 18, then matches played per every team = 17. Hence here the case will be 18x17/2 = 153.
great answer and even better explanation!
do you have any feedback on the graph?
Actually nope. :P
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