There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?
Source: Official Guide
There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played
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There are 8 teams. If we ask each team, "How many teams did you play?" we'll find that each team played 7 teams, which gives us a total of 56 games (since 8 x 7 = 56).
From here we need to recognize that each game has been COUNTED TWICE.
For example, if Team A and Team B play a game, then Team A counts it as a game, and Team B ALSO counts it as a game.
So, to account for the DUPLICATION, we'll divide 56 by 2 to get 28
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