If A{1, 2, 3), and B is the power set of A, and C is the power set of Bthen what is the size of set C?23240 252602728None of the above is correct.

Answered: If A {1, 2, 3), and B is the power set…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Concept explainers

Question

100%

If A
{1, 2, 3), and B is the power set of A, and C is the power set of B
then what is the size of set C?
23
24
0 25
26
027
28
None of the above is correct.

Expert Solution

Explanation

1) The power set of a set is the set of all subsets of that set, including the empty set and the set itself. The power set of a set A with n elements has 2^n subsets,

2) In this case, the set A has three elements: {1,2,3}. The power set of A is the set of all subsets of A, which includes the empty set {}, and all subsets that can be formed by choosing 1, 2, or 3 elements from A. Therefore, the power set of A is:

B = {{}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}}
A has 3 elements, so the power set of A, which is B, has 2^3 = 8 subsets.

3) The power set of B, which is C, has 2^8 = 256 subsets.

4) Therefore, the size of set C is 2^8

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions