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If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how m

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by BTGModeratorVI » Mon Sep 07, 2020 7:02 am

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If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?

A. 144
B. 132
C. 66
D. 33
E. 23

Answer: C
Source: Official guide
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Re: If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, h

by Brent@GMATPrepNow » Wed Sep 09, 2020 6:18 am
BTGModeratorVI wrote: ↑
Mon Sep 07, 2020 7:02 am
 If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?

A. 144
B. 132
C. 66
D. 33
E. 23

Answer: C
Source: Official guide
There are 12 teams.
If we ask each team, "How many teams did you play?" we'll find that each team played 11 teams, which gives us a total of 132games (since 12 x 11 = 132).

From here we must 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 counts it as a game.

So, to account for the DUPLICATION, we'll divide 132 by 2 to get 66

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, h

by ygcrowanhand » Sun May 03, 2026 4:12 am
Here's my video explanation of the question: https://youtube.com/shorts/jQhxdzNX6NY?feature=share
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