Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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?
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**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. \( 10! \cdot 9 \cdot 2 \)
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**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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