**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.

We use permutations and combinations to find the number of ways...the process is given below

Answered: After gym class you are tasked with…

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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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?