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How many subsets of the set H = {x, y} are there that do not contain the element
How many subsets of the set H = {x, y} are there that do not contain the element y?
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Q1
How many subsets of the set H = {x, y} are there that do not contain the element y?
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The only subset that does not contain y is {∅} and {x}. Total = 2.
Questions & Step-by-step Solutions
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Q
Q: How many subsets of the set H = {x, y} are there that do not contain the element y?
Solution:
The only subset that does not contain y is {∅} and {x}. Total = 2.
Steps: 5
Show Steps
Step 1: Identify the set H, which is {x, y}.
Step 2: Determine which subsets of H do not include the element y.
Step 3: List the possible subsets of H: {∅}, {x}, {y}, and {x, y}.
Step 4: Remove any subsets that contain y. The remaining subsets are {∅} and {x}.
Step 5: Count the remaining subsets. There are 2 subsets: {∅} and {x}.
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