After gym class you are tasked with putting the 32 identical dodgeballs away into 9 bins. How many ways can you do this if there are no restrictions?
After gym class you are tasked with putting the 32 identical dodgeballs away into 9 bins. How many ways can you do this if there are no restrictions?
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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![**Task**: You need to distribute 32 identical dodgeballs into 9 bins.
1. **Without Restrictions**: Determine how many ways you can do this without any restrictions.
- [Input Box]
- [Preview Button]
2. **With Restrictions**: Determine how many ways you can do this if each bin must contain at least one dodgeball.
- [Input Box]
- [Preview Button]
This exercise involves combinatorics and explores the concept of distributing identical objects into distinct groups, with and without conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F140c7626-2888-4935-8928-dcb55a4fc57b%2F7740c7e1-5cb2-4d2a-bbdf-d43eb26cdfb6%2Fngr0khl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Task**: You need to distribute 32 identical dodgeballs into 9 bins.
1. **Without Restrictions**: Determine how many ways you can do this without any restrictions.
- [Input Box]
- [Preview Button]
2. **With Restrictions**: Determine how many ways you can do this if each bin must contain at least one dodgeball.
- [Input Box]
- [Preview Button]
This exercise involves combinatorics and explores the concept of distributing identical objects into distinct groups, with and without conditions.
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