Solution Found!
a) Define the power set of a set S.________________b) When
Chapter 2, Problem 4RQ(choose chapter or problem)
QUESTION:
Problem 4RQ
a) Define the power set of a set S.
b) When is the empty set in the power set of a set S?
c) How many elements does the power set of a set S with n elements have?
Questions & Answers
QUESTION:
Problem 4RQ
a) Define the power set of a set S.
b) When is the empty set in the power set of a set S?
c) How many elements does the power set of a set S with n elements have?
ANSWER:
Solution:
Step 1:
- In this problem we need to define the power set of a set S .
Definition: The power set of any set S is the set of all subsets of S , including the empty set and S itself , and it is denoted by .
Example : S = { a, b , c} .
.
If there are n elements in a set then the power set contains elements.