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Question

Write down the power set of $$A=\left \{ 3,\left \{ 4,5 \right \} \right \}$$


Solution

$$A=\left \{ 3,\left \{ 4,5 \right \} \right \}$$
The subsets of $$A$$ are
$$\varnothing , \left \{ 3 \right \},\left \{ \left \{ 4,5 \right \} \right \},\left \{ 3,\left \{ 4,5 \right \} \right \}$$
$$\therefore P\left ( A \right )=\left \{ \varnothing , \left \{ 3 \right \},\left \{ \left \{ 4,5 \right \} \right \},\left \{ 3,\left \{ 4,5 \right \} \right \} \right \}$$

Mathematics

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