GMATD11 wrote:
There are 8 teams in a certain league and each team plays each of the other team exactly once.if each game is played by 2 teams, what is the total number of games played?
a) 15
b) 16
c) 28
d) 56
e) 64
Unable to understand how to break the statements to draw solution.
Another approach to understand this question:
Make everyone stand in a line:
A B C D E F G H
A plays a game with each of the 7 others so 7 games. Now all A's games are done.
B plays a game with each of the 6 others ( C D E F G H) so 6 games. (The game of B with A has already been counted when we were counting A's games. So you just have to move forward, not back). All B's games are done.
Now C plays a game with each of the 5 others (D E F G H) so 5 games and so on till G plays 1 game with H.
Adding 7+6+5+...+1 = 7*8/2 = 28
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Karishma
Veritas Prep GMAT Instructor
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