Math Problem Statement
List all the subsets of the given set: {b, o, s}
Solution
The question asks to list all the subsets of the set .
Given a set with elements, the number of subsets is . For the set , there are 3 elements, so the number of subsets is .
The subsets are as follows:
- (the empty set)
Let me know if you would like further details on this topic or explanations for any steps.
Here are 5 related questions to expand your understanding:
- How do you find the number of subsets for a set with elements?
- What is the difference between a proper subset and a subset?
- How would you list the subsets of a 4-element set?
- Can you explain the concept of a power set?
- What are the subsets of the set ?
Tip: The power set of any set includes all possible combinations of its elements, including the empty set and the set itself.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Subsets
Formulas
Number of subsets of a set: 2^n, where n is the number of elements in the set
Theorems
Power set theorem
Suitable Grade Level
Grades 7-8