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If A is {{Φ}, {Φ, {Φ}}}, then the power set of A has how many element?

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If A is {{Φ}, {Φ, {Φ}}}, then the power set of A has how many element?

(a) 2

(b) 4

(c) 6

(d) 8

This question was posed to me in an interview for internship.

This intriguing question comes from Set Operations topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Best answer
Right option is (b) 4

The best explanation: The set A has got 2 elements so n(P(A))=4.

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