If A = { phi, { phi } },then the power set of | vedclass

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(A) Given set $A = \{ \phi, \{ \phi \} \}$.The number of elements in $A$ is $n(A) = 2$.The power set $\mathcal{P}(A)$ contains $2^{n(A)} = 2^2 = 4$ el

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$\mathcal{P}(A) = \{ \phi, \{ \phi \}, \{ \{ \phi \} \}, A \}$

Vedclass · Answer

(A) Given set $A = \{ \phi, \{ \phi \} \}$.The number of elements in $A$ is $n(A) = 2$.The power set $\mathcal{P}(A)$ contains $2^{n(A)} = 2^2 = 4$ elements.The elements of the power set are the subsets of $A$.The subsets of $A$ are $\phi$,$\{ \phi \}$,$\{ \{ \phi \} \}$,and $\{ \phi, \{ \phi \} \} = A$.Therefore,$\mathcal{P}(A) = \{ \phi, \{ \phi \}, \{ \{ \phi \} \}, A \}$.

If $A = \{ \phi, \{ \phi \} \}$,then the power set of set $A$ is:

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