Hi shasadou,
This question can be answered in a couple of different ways. If you know the Combination Formula, then you can use that...
N!/[K!(N-K)!] where N is the total number of Teams and K is the Subgroup.
In this prompt, N = 16 and K = 2...
16!/[2!(14!)] =
(16)(15)/(2)(1) =
120 different games played
You can also use 'brute force' and a bit of logic to answer the question....
Let's call the teams...ABCDE FGHIJ KLMNO P
Team A plays each of the other 15 teams, so that's 15 games.
Team B already played Team A, so it plays 14 OTHER games.
Team C already played Teams A and B, so it plays 13 OTHER games.
Team D already played Teams A, B and C, so it plays 12 OTHER games.
Etc.
The sum of all of these games is...
15+14+13.....+3+2+1 = 120
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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