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GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 4

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Let $\mathcal{P}(A)$ denote the power set of $A$. If $\mathcal{P}(A) \subseteq B$ then

  1. $2^{|A|} \leq|B|$
  2. $2^{|A|} \geq|B|$
  3. $2|A|<|B|$
  4. $2^{|A|} \geq 2^{|B|}$
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$P(A) \subseteq B$

$\left | P(A) \right | \leq \left | B \right |$

$2^{\left | A \right |} \leq \left | B \right |$

Correct Option: A

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