The Math Forum

Ask Dr. Math - Questions and Answers from our Archives
Associated Topics || Dr. Math Home || Search Dr. Math

How Many Games in the Tournament?

Date: 01/15/2002 at 22:11:26
From: Crumpy
Subject: Tournament Games

There are eight teams in a single-elimination tournament. Each team 
gets to play until it loses. How many games will be played in the 

Date: 01/16/2002 at 11:16:40
From: Doctor Paul
Subject: Tournament Games

In the first round, eight teams play four games. In the 2nd round, 
four teams play two games. In the final round, the remaining two teams 
play one game.

Thus there are 4 + 2 + 1 = 7 games played by the 8 teams.

I hope this helps.  Please write back if you'd like to talk about this 
some more.

- Doctor Paul, The Math Forum   
Associated Topics:
High School Discrete Mathematics
High School Permutations and Combinations

Search the Dr. Math Library:

Find items containing (put spaces between keywords):
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words

Submit your own question to Dr. Math

[Privacy Policy] [Terms of Use]

Math Forum Home || Math Library || Quick Reference || Math Forum Search

Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.