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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
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.
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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