There are 22 members of a basketball team. (1) The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel? (2) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. How many ways are there for her to select the starting line-up? (3) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. However, there are only 3 of the 8 players who can play center. Otherwise, there are no restrictions. How many ways are there for her to select the starting line-up?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
There are 22 members of a basketball team.
(1) The coach must select 8 players to travel to an away
game. How many ways are there to select the players
who will travel?
(2) From the 8 players who will travel, the coach must
select her starting line-up. She will select a player for
each of the five positions: center, right forward, left
forward, right guard, left guard. How many ways are
there for her to select the starting line-up?
(3) From the 8 players who will travel, the coach must
select her starting line-up. She will select a player for
each of the five positions: center, right forward, left
forward, right guard, left guard. However, there are only
3 of the 8 players who can play center. Otherwise, there
are no restrictions. How many ways are there for her to
select the starting line-up?
Transcribed Image Text:There are 22 members of a basketball team. (1) The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel? (2) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. How many ways are there for her to select the starting line-up? (3) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. However, there are only 3 of the 8 players who can play center. Otherwise, there are no restrictions. How many ways are there for her to select the starting line-up?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education