Questions: Thinking - Fall 2024 - 21337
List all the subsets of the given set.
0
The subsets are .
(Use a comma to separate answers as needed.)
Transcript text: Thinking - Fall 2024 - 21337
List all the subsets of the given set.
$\{0\}$
The subsets are $\square$ .
(Use a comma to separate answers as needed.)
Solution
Solution Steps
To list all the subsets of a given set, we need to consider all possible combinations of its elements, including the empty set and the set itself. For a set with \( n \) elements, there are \( 2^n \) subsets.
Step 1: Identify the Given Set
The given set is \(\{0\}\).
Step 2: Determine the Number of Subsets
For a set with \( n \) elements, the number of subsets is \( 2^n \). Here, \( n = 1 \), so the number of subsets is \( 2^1 = 2 \).