Question: Which of the following sets is a power set of F = {a, b}?
Options:
{∅, {a}, {b}}
{∅, {a}, {b}, {a, b}}
{a, b}
{a, b, ∅}
Correct Answer: {∅, {a}, {b}, {a, b}}
Solution:
The power set of F = {a, b} is {∅, {a}, {b}, {a, b}}.
Which of the following sets is a power set of F = {a, b}?
Practice Questions
Q1
Which of the following sets is a power set of F = {a, b}?
{∅, {a}, {b}}
{∅, {a}, {b}, {a, b}}
{a, b}
{a, b, ∅}
Questions & Step-by-Step Solutions
Which of the following sets is a power set of F = {a, b}?
Step 1: Understand what a power set is. A power set is the set of all possible subsets of a given set.
Step 2: Identify the original set F. In this case, F = {a, b}.
Step 3: List all possible subsets of F. The subsets are: the empty set (∅), the set containing just 'a' ({a}), the set containing just 'b' ({b}), and the set containing both 'a' and 'b' ({a, b}).
Step 4: Combine all the subsets into one set. The power set of F is {∅, {a}, {b}, {a, b}}.
No concepts available.
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