What is a power set?
An example of an AI chatbot conversation about understanding power sets in mathematics.
What is a power set?
A power set is the set of all possible subsets of a given set, including the empty set and the set itself.
Can you give me an example of a power set?
Sure! For the set {1, 2}, the power set is { {}, {1}, {2}, {1, 2} }.
How do you calculate the number of subsets in a power set?
The number of subsets in a power set is 2^n, where n is the number of elements in the original set.
What is the power set of an empty set?
The power set of an empty set is { {} }, which contains only the empty set itself.
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