The 2023 Women's World Cup will feature 32 teams. At the end of the tournament the teams are ranked from 1 to 32.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question
Q#2, World Cup
The 2023 Women's World Cup will feature 32 teams. At the end of the tournament the teams are
ranked from 1 to 32.
(a) Four teams will make the semi-finals, where the winners play in the final and the losers meet in
the 3rd place game, after which the 1st through 4th place positions are finalized. At the start of the
tournament, how many different possible final arrangements are there of teams in 1st through 4th
place?
(b) New Zealand and Australia are co-hosting the tournament. How many final rankings of the 32
teams have either New Zealand or Australia in 1st place (as the champion)? Briefly describe how you
arrived at your solution.
(c) How many final rankings of the 32 teams have neither New Zealand nor Australia in 1st place?
Briefly describe how you arrived at your solution.
(d) The USA is the clear-cut best team in the world, followed by Germany and France. Suppose there
is an upset and none of those 3 teams make the final (so none finish in first or second). How many
different final rankings are there of the 32 teams? Describe how you arrived at your solution
Transcribed Image Text:Q#2, World Cup The 2023 Women's World Cup will feature 32 teams. At the end of the tournament the teams are ranked from 1 to 32. (a) Four teams will make the semi-finals, where the winners play in the final and the losers meet in the 3rd place game, after which the 1st through 4th place positions are finalized. At the start of the tournament, how many different possible final arrangements are there of teams in 1st through 4th place? (b) New Zealand and Australia are co-hosting the tournament. How many final rankings of the 32 teams have either New Zealand or Australia in 1st place (as the champion)? Briefly describe how you arrived at your solution. (c) How many final rankings of the 32 teams have neither New Zealand nor Australia in 1st place? Briefly describe how you arrived at your solution. (d) The USA is the clear-cut best team in the world, followed by Germany and France. Suppose there is an upset and none of those 3 teams make the final (so none finish in first or second). How many different final rankings are there of the 32 teams? Describe how you arrived at your solution
Expert Solution
Step 1

Note:

Hi there! Thank you for posting the question. As your question has more than 3 parts, we have solved only the first three subparts for you. If you need any specific subpart to be answered, please re-submit the question by specifying the subpart number or name.

steps

Step by step

Solved in 5 steps with 3 images

Blurred answer