- #1
nicnicman
- 136
- 0
While practicing power set problems I came across one that has me stumped.
The problem asks: Is the following set is a power set of of a set?
{∅, {b, ∅}, {a}, {a, b}, {b}}
My answer: This set has 5 elements. Since 5 is not a power of 2, this cannot be the power set of any set.
The problem then asks: If the set is not a power set of a set, then what is the lacking set?
This is where I'm stuck. There are no similar problems in the book or on the Internet (that I can find), and I'm not sure how to answer this.
Thank you for any suggestions!
The problem asks: Is the following set is a power set of of a set?
{∅, {b, ∅}, {a}, {a, b}, {b}}
My answer: This set has 5 elements. Since 5 is not a power of 2, this cannot be the power set of any set.
The problem then asks: If the set is not a power set of a set, then what is the lacking set?
This is where I'm stuck. There are no similar problems in the book or on the Internet (that I can find), and I'm not sure how to answer this.
Thank you for any suggestions!