×
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.1 - Problem 49e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.1 - Problem 49e

×

# What is wrong with this "proof" that all horses are the

ISBN: 9780073383095 37

## Solution for problem 49E Chapter 5.1

Discrete Mathematics and Its Applications | 7th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Discrete Mathematics and Its Applications | 7th Edition

4 5 1 322 Reviews
15
4
Problem 49E

What is wrong with this "proof" that all horses are the same color?

Let P(n) be the proposition that all the horses in a set of n horses are the same color.

Basis Step: Clearly, P(l) is true.

Inductive Step: Assume that P(k) is true, so that all the horses in any set of k horses are the same color. Consider any k + 1 horses; number these as horses 1,2,3,…,k,k + 1. Now the first k of these horses all must have the same color, and the last k of these must also have the same color. Because the set of the first k horses and the set of the last k horses overlap, all k + 1 must be the same color. This shows that P(k + 1) is true and finishes the proof by induction.

Step-by-Step Solution:
Step 1 of 3

Designers  Costume Designers  Lighting, Tuning and Sound Designers also  Sometimes same person will do two or more of those tasks  Artists in professional world Costume Design: Clothing  Gives us lots of information: time period, region, tradition, status, occupation, personality  Professionals know what clothing to wear for different time periods and social status Designer  Collaborative artist  Strong art creative background  Most studied theatre in college then furthered studies  Help establish style of production  Indicates period  Considers line, color, fabric  Helping tell story on stage  Consider what character does; jumping around, flexible Scenic designer and Set designer

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution