## There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played

##### This topic has expert replies
Legendary Member
Posts: 1486
Joined: 01 Mar 2018
Followed by:2 members

### 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 Gmat_mission » Sun Sep 19, 2021 1:06 pm

00:00

A

B

C

D

E

## Global Stats

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?

A. 15
B. 16
C. 28
D. 56
E. 64

Source: Official Guide

### GMAT/MBA Expert

GMAT Instructor
Posts: 15887
Joined: 08 Dec 2008
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1267 members
GMAT Score:770

### Re: There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is play

by [email protected] » Sun Sep 19, 2021 2:14 pm
Gmat_mission wrote:
Sun Sep 19, 2021 1:06 pm
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?

A. 15
B. 16
C. 28
D. 56
E. 64

Source: Official Guide
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