You are heading to the animal shelter to choose a pet. The shelter has the following pets available: • 15 cats, of which 6 are short haired and 9 are long haired. 24 dogs, of which 21 are short haired and 3 are long haired. 1. In how many ways can you bring home one cat or one dog? 2. In how many ways can you bring home one cat or one short haired animal? 3. In how many ways can you bring home one long haired cat and one dog?
You are heading to the animal shelter to choose a pet. The shelter has the following pets available: • 15 cats, of which 6 are short haired and 9 are long haired. 24 dogs, of which 21 are short haired and 3 are long haired. 1. In how many ways can you bring home one cat or one dog? 2. In how many ways can you bring home one cat or one short haired animal? 3. In how many ways can you bring home one long haired cat and one dog?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:**Title: Choosing a Pet from the Animal Shelter: A Combinatorial Approach**
You are heading to the animal shelter to choose a pet. The shelter has the following pets available:
- **15 cats**, of which **6** are short-haired and **9** are long-haired.
- **24 dogs**, of which **21** are short-haired and **3** are long-haired.
Use the information above to answer the following questions:
1. **In how many ways can you bring home one cat or one dog?**
2. **In how many ways can you bring home one cat or one short-haired animal?**
3. **In how many ways can you bring home one long-haired cat and one dog?**
4. **In how many ways can you bring home an animal that is not a short-haired cat?**
*Instructions: Consider each scenario separately and use basic combinatorial methods to find the total number of possible choices.*
Expert Solution
Step 1
Given Information:
Number of Cats = 15
Number of Dogs = 24
Total number of pets available = 39
Number of short-haired cats = 6
Number of short-haired dogs = 21
Total short-haired animals = 27
Number of long-haired cats = 9
Number of long-haired dogs = 3
Total long-haired animals = 12
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