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?

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,...

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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?

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