Write down all possible subsets of $A = {1, {2, 3}}$ .

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Solution

Here A contains two elements, namely 1 and $A = {1, {2, 3}}$ .

Let ${2, 3} = B t h e n A = {1, B}$

$∴ r e q u i r e d s u b s e t s a r e S = {ϕ, {1}, {B}, {1, B}}$

$\Rightarrow S = {ϕ, {1}, {2, 3}, {1, {2, 3}}}$ .

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