In how many ways can the coach choose 11 players to play? |A lineup describes the set of players which play together. A lineup consists of: 4 midfielders, 3 defenders, 3 attackers and 1 goalkeeper. This team has: 7 midfielders, 6 defenders, 5 attackers and 2 goalkeepers in total on their roster. In how many ways can the coach choose a lineup of players? Now assume that one of the defenders, after a summer or practice, may play the attack position in addition to defense. In how many ways can the coach choose a lineup?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 81E: Hockey Lineup A hockey team has 20 players, of whom 12 play forward, six play defense, and two are...
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Soccer Lineups A local high school soccer team has 20
players.
In how many ways can the coach choose 11 players to play?
A lineup describes the set of players which play together. A lineup consists of:
4 midfielders, 3 defenders, 3 attackers and 1 goalkeeper.
This team has:
7 midfielders, 6 defenders, 5 attackers and 2 goalkeepers
in total on their roster. In how many ways can the coach choose a lineup of players?
Now assume that one of the defenders, after a summer or practice, may play the attack position
in addition to defense. In how many ways can the coach choose a lineup?
Transcribed Image Text:Soccer Lineups A local high school soccer team has 20 players. In how many ways can the coach choose 11 players to play? A lineup describes the set of players which play together. A lineup consists of: 4 midfielders, 3 defenders, 3 attackers and 1 goalkeeper. This team has: 7 midfielders, 6 defenders, 5 attackers and 2 goalkeepers in total on their roster. In how many ways can the coach choose a lineup of players? Now assume that one of the defenders, after a summer or practice, may play the attack position in addition to defense. In how many ways can the coach choose a lineup?
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