# Problem 1. Let A be a set with cardinality n ∈ N. Prove that the set {B : B ⊆ A} hascardinality 2n.

## Question

## Solution 1

Sure, here is a step-by-step proof for the problem:

Step 1: Define the set Let's define the set A with cardinality n. This means that there are n elements in set A.

Step 2: Define the power set The set {B : B ⊆ A} is the power set of A, often denoted as P(A). The power set of A is the set of all Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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