If H = {x, y}, how many subsets of H are also subsets of the power set of H?

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If H = {x, y}, how many subsets of H are also subsets of the power set of H?
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Q: If H = {x, y}, how many subsets of H are also subsets of the power set of H?
Solution: The power set of H is {∅, {x}, {y}, {x, y}}. The subsets of H are {∅, {x}, {y}}.
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