Find the power set of A = {{a, b}, c}. | vedclass

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(D) Let $A = \{\{a, b\}, c\}$.To determine the power set $P(A)$,we note that the set $A$ contains two elements: $x = \{a, b\}$ and $y = c$.The number

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(D) Let $A = \{\{a, b\}, c\}$.To determine the power set $P(A)$,we note that the set $A$ contains two elements: $x = \{a, b\}$ and $y = c$.The number of elements in the power set $P(A)$ is given by $2^n$,where $n$ is the number of elements in $A$.Here,$n = 2$,so $P(A)$ will contain $2^2 = 4$ elements.The elements of the power set $P(A)$ are the subsets of $A$,which are:$1$. The empty set: $\phi$$2$. The set containing the first element: $\{\{a, b\}\}$$3$. The set containing the second element: $\{c\}$$4$. The set $A$ itself: $\{\{a, b\}, c\}$Therefore,$P(A) = \{\phi, \{\{a, b\}\}, \{c\}, A\}$.

Find the power set of $A = \{\{a, b\}, c\}$.

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