Since A has 2 elements, we expect its power set to have 4 elements.
P(A) always contains ∅ and A as elements; additionally, in this case, we have the singleton sets {∅} and {{∅}}.
That is:
P(A) = {∅, {∅}, {{∅}}, {∅,{∅}}}
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Verified answer
Since A has 2 elements, we expect its power set to have 4 elements.
P(A) always contains ∅ and A as elements; additionally, in this case, we have the singleton sets {∅} and {{∅}}.
That is:
P(A) = {∅, {∅}, {{∅}}, {∅,{∅}}}