Glenn and Kim are members of a comedy troupe that has 10 members in all. How many ways can the 10 members line up if Glenn and Kim must stand side by side? Give the expression that can be used to calculate the number of ways the members of the troupe can line up. Choose the correct answer below. OA. 81.9.2 OB. 10! 2 O D. 81.2 O C. 81 O E. 101.9 O F. 10! O G. 81.9 OH. 101.9.2 The number of ways that the troupe can line up is (Simplify your answer.)
Glenn and Kim are members of a comedy troupe that has 10 members in all. How many ways can the 10 members line up if Glenn and Kim must stand side by side? Give the expression that can be used to calculate the number of ways the members of the troupe can line up. Choose the correct answer below. OA. 81.9.2 OB. 10! 2 O D. 81.2 O C. 81 O E. 101.9 O F. 10! O G. 81.9 OH. 101.9.2 The number of ways that the troupe can line up is (Simplify your answer.)
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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![**Title: Calculating the Lineup Arrangements for a Comedy Troupe**
**Question:**
Glenn and Kim are members of a comedy troupe that has 10 members in all. How many ways can the 10 members line up if Glenn and Kim must stand side by side?
---
**Part 1: Applying the Correct Expression**
*Give the expression that can be used to calculate the number of ways the members of the troupe can line up. Choose the correct answer below.*
A. \( 8! \cdot 9 \cdot 2 \)
B. \( 10! \cdot 2 \)
C. \( 8! \)
D. \( 8! \cdot 2 \)
E. \( 10! \cdot 9 \)
F. \( 10! \)
G. \( 8! \cdot 9 \)
H. \( 10! \cdot 9 \cdot 2 \)
---
**Part 2: Calculating the Number of Arrangements**
*The number of ways that the troupe can line up is \( \boxed{ } \).*
*(Simplify your answer.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b1d7e88-5924-4190-9ef7-53bc83ebfef1%2Fcdc56232-54a0-42c8-a502-2cf8a785c7a8%2Fu750bpa_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Calculating the Lineup Arrangements for a Comedy Troupe**
**Question:**
Glenn and Kim are members of a comedy troupe that has 10 members in all. How many ways can the 10 members line up if Glenn and Kim must stand side by side?
---
**Part 1: Applying the Correct Expression**
*Give the expression that can be used to calculate the number of ways the members of the troupe can line up. Choose the correct answer below.*
A. \( 8! \cdot 9 \cdot 2 \)
B. \( 10! \cdot 2 \)
C. \( 8! \)
D. \( 8! \cdot 2 \)
E. \( 10! \cdot 9 \)
F. \( 10! \)
G. \( 8! \cdot 9 \)
H. \( 10! \cdot 9 \cdot 2 \)
---
**Part 2: Calculating the Number of Arrangements**
*The number of ways that the troupe can line up is \( \boxed{ } \).*
*(Simplify your answer.)*
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