There are 16 teams in a soccer league, and each team plays each of the others once. Given that each game is played by two teams, how many total games will be played?
. Options:
A) 256
B) 230
C) 196
D) 169
E) 120
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:120
<result>E</result>
There are 16 teams in a soccer league, and each team plays each of the others once. Given that each game is played by two teams, how many total games will be played?
.