A clerk at a bookstore is restocking a shelf of the best-selling novels. He has five copies each of the four different novels. a. How many different ways can he arrange the books on the shelf? Assume each copy is identical. b. How many different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together?
A clerk at a bookstore is restocking a shelf of the best-selling novels. He has five copies each of the four different novels. a. How many different ways can he arrange the books on the shelf? Assume each copy is identical. b. How many different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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discrete math
![**Problem Statement:**
A clerk at a bookstore is restocking a shelf of the best-selling novels. He has five copies each of the four different novels.
a. How many different ways can he arrange the books on the shelf? Assume each copy is identical.
[Answer Box]
b. How many different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together?
[Answer Box]
**Explanation:**
- **Arrangement of Books:**
- **Part (a):** This asks for the number of ways to arrange 20 books, where there are 5 identical copies each of 4 different novels.
- **Part (b):** This asks for the number of ways to arrange the novels such that all copies of the same novel are together. This involves treating each group as a single "block" or unit.
**Note: The problem does not include any graphs or diagrams.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23afe9e0-d558-4f29-a475-77c743e5301e%2Fab981e2b-cfba-42b7-ab0e-381b687833ca%2Fiqcbnd5_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A clerk at a bookstore is restocking a shelf of the best-selling novels. He has five copies each of the four different novels.
a. How many different ways can he arrange the books on the shelf? Assume each copy is identical.
[Answer Box]
b. How many different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together?
[Answer Box]
**Explanation:**
- **Arrangement of Books:**
- **Part (a):** This asks for the number of ways to arrange 20 books, where there are 5 identical copies each of 4 different novels.
- **Part (b):** This asks for the number of ways to arrange the novels such that all copies of the same novel are together. This involves treating each group as a single "block" or unit.
**Note: The problem does not include any graphs or diagrams.**
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