(13) Ten players get together to play basketball. They need to form two teams of five players each. One player argues that the number of ways of dividing the players into two teams is clearly (10), since five players out of ten must be chosen to create a team, and then the other five players are on the other team. Another player argues that the answer is (2) because that is the number of ways that she can choose her teammates from the other nine players. Who is right, and why?
(13) Ten players get together to play basketball. They need to form two teams of five players each. One player argues that the number of ways of dividing the players into two teams is clearly (10), since five players out of ten must be chosen to create a team, and then the other five players are on the other team. Another player argues that the answer is (2) because that is the number of ways that she can choose her teammates from the other nine players. Who is right, and why?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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![(13) Ten players get together to play basketball. They need to form two teams of five
players each. One player argues that the number of ways of dividing the players
into two teams is clearly (10), since five players out of ten must be chosen to create
a team, and then the other five players are on the other team. Another player argues
that the answer is (2) because that is the number of ways that she can choose her
teammates from the other nine players. Who is right, and why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfedff97-b550-4f81-a712-2258c6a1a902%2F791ad85b-2b18-4983-876e-f67b97f9c39f%2Fuwwid5_processed.png&w=3840&q=75)
Transcribed Image Text:(13) Ten players get together to play basketball. They need to form two teams of five
players each. One player argues that the number of ways of dividing the players
into two teams is clearly (10), since five players out of ten must be chosen to create
a team, and then the other five players are on the other team. Another player argues
that the answer is (2) because that is the number of ways that she can choose her
teammates from the other nine players. Who is right, and why?
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