Question

7. [2 marks] Let A {1, {0}}. Find P(A).

Answer 1

Looks like $A$ is the set $\{1,\{0\}\}$, and you want to find the power set of $A$, $\mathcal P(A)$. $A$ contains only 2 elements, so we expect $2^2=4$ elements in the power set:

$\mathcal P(A)=\{\{\},\{1\},\{\{0\}\},\{1,\{0\}\}\}$