How many elements has P (A), if A = Φ?
Question
How many elements has P (A), if A = Φ?
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Solution
To answer the question, we need to understand the given information.
The symbol Φ represents the empty set, which means it has no elements.
Now, let's determine the number of elements in the power set of A, denoted as P(A).
The power set of A is the set of all possible subsets of A, including the empty set and A itself.
Since A is the empty set, it has no elements. Therefore, the power set of A, P(A), will have only one element, which is the empty set itself.
So, P(A) has one element, which is the empty set.
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