Question: If H = {x, y}, how many subsets of H are also subsets of the power set of H?
Options:
1
2
4
3
Correct Answer: 4
Solution:
The power set of H is {∅, {x}, {y}, {x, y}}. The subsets of H are {∅, {x}, {y}}.
If H = {x, y}, how many subsets of H are also subsets of the power set of H?
Practice Questions
Q1
If H = {x, y}, how many subsets of H are also subsets of the power set of H?
1
2
4
3
Questions & Step-by-Step Solutions
If H = {x, y}, how many subsets of H are also subsets of the power set of H?
Step 1: Identify the set H, which is given as H = {x, y}.
Step 2: Determine the power set of H. The power set includes all possible subsets of H, which are: ∅ (empty set), {x}, {y}, and {x, y}. So, the power set of H is {∅, {x}, {y}, {x, y}}.
Step 3: Identify the subsets of H. The subsets of H are: ∅, {x}, {y}.
Step 4: Count the number of subsets of H that are also in the power set of H. The subsets of H (∅, {x}, {y}) are all included in the power set of H.
Step 5: Conclude that there are 3 subsets of H that are also subsets of the power set of H.
Power Set – The power set of a set is the set of all possible subsets, including the empty set and the set itself.
Subsets – A subset is a set that contains some or all elements of another set.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
