Math Problem Statement
Find the number of subsets of the given set. {2, 11, 6} subsets
Solution
To find the number of subsets of a given set, we use the formula:
where is the number of elements in the set.
For the set , there are 3 elements. So, we have:
Therefore, the set has 8 subsets.
List of all subsets:
- (the empty set)
Would you like more details or have any questions?
Here are some related questions:
- What is the formula to find the number of subsets of a set with elements?
- How many subsets does a set with 4 elements have?
- What is the difference between a proper subset and an improper subset?
- How do we find the number of proper subsets of a set?
- What is the power set of a given set?
Tip: Remember, the empty set is always a subset of any set.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Subsets
Combinatorics
Formulas
Number of subsets = 2^n
Theorems
Power Set Theorem
Suitable Grade Level
Grades 6-8