Chapter 13: Q 10. (page 847)

Write down all the subsets of $\{a, b, c, d, e\}$ .

Short Answer

Expert verified

The subsets are : $\emptyset, \{a\}, \{b\}, \{c\}, \{d\}, \{e\}, \{a, b\}, \{a, c\}, \{a, d\}, \{a, e\}, \{b, c\}, \{b, d\}, \{b, e\}, \{c, d\}, \{c, e\}, \{d, e\}, \{a, b, c\}, \{a, b, d\}, \{a, b, e\}, \{a, c, d\}, \{a, c, e\}, \{a, d, e\}, \{b, c, d\}, \{b, c, e\}, \{b, d, e\}, \{c, d, e\}, \{c, d, a\}, \{a, b, c, d\}, \{a, b, c, e\}, \{a, b, d, e\}, \{a, c, d, e\}, \{b, c, d, e\}, \{a, b, c, d, e\}$

Step by step solution

Step 1. Given Information.

Write down all the subsets of $\{a, b, c, d, e\}$ .

Step 2. Subsets.

The total number of subsets are $2^{n}$ where $n = 5$ .

The number of subsets are $2^{5} = 32$ .

The 0 elements - $\emptyset$ .

The 1 elements - $\{a\}, \{b\}, \{c\}, \{d\}, \{e\}$ .

The 2 elements - role="math" $\{a, b\}, \{a, c\}, \{a, d\}, \{a, e\}, \{b, c\}, \{b, d\}, \{b, e\}, \{c, d\}, \{c, e\}, \{d, e\}$ .

The 3 elements - $\{a, b, c\}, \{a, b, d\}, \{a, b, e\}, \{a, c, d\}, \{a, c, e\}, \{a, d, e\}, \{b, c, d\}, \{b, c, e\}, \{b, d, e\}, \{c, d, e\}, \{c, d, a\}$ .

The 4 elements - $\{a, b, c, d\}, \{a, b, c, e\}, \{a, b, d, e\}, \{a, c, d, e\}, \{b, c, d, e\}$ .

The 5 elements - $\{a, b, c, d, e\}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Write down all the subsets of $\{a, b, c, d, e\}$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Subsets.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Geometry

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write down all the subsets ofa,b,c,d,e.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Subsets.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Geometry

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write down all the subsets of $\{a, b, c, d, e\}$ .