Problem

Find the power set of the set \( A = \{1, 2, 3\} \)

Solution

Step 1 :The power set of a set is the set of all possible subsets of the set. So, we first list out all possible subsets of \( A \).

Step 2 :The possible subsets are: \( \{\} \) (the empty set), \( \{1\} \), \( \{2\} \), \( \{3\} \), \( \{1, 2\} \), \( \{1, 3\} \), \( \{2, 3\} \), and \( \{1, 2, 3\} \).

Step 3 :Therefore, the power set of \( A \) is \( P(A) = \{\{\}, \{1\}, \{2\}, \{3\}, \{1, 2\}, \{1, 3\}, \{2, 3\}, \{1, 2, 3\}\} \).

From Solvely APP
Source: https://solvelyapp.com/problems/9lh9xGdpe8/

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