Subset Calculator
Check subset relationships between sets and enumerate all subsets.
Define Sets
A = {1, 2, 3} (|A| = 3)
B = {1, 2, 3, 4, 5} (|B| = 5)
Element Analysis
In A but not B:โ
In B but not A:{4, 5}
In both A and B:{1, 2, 3}
Subset Relationships
A โ B (A is subset of B)TRUE
A โ B (A is proper subset of B)TRUE
B โ A (B is subset of A)FALSE
A = B (Sets are equal)FALSE
Subsets of A
8
2^3 = 8
Subsets of B
32
2^5 = 32
All Subsets of A
โ
{1}{2}{1, 2}{3}{1, 3}{2, 3}{1, 2, 3}
Subset Definitions
Subset (โ)
A โ B means every element in A is also in B. A can equal B.
Proper Subset (โ)
A โ B means A โ B and A โ B. B has at least one element not in A.
Number of Subsets
A set with n elements has 2^n subsets, including โ and itself.
๐ก
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
รฐลธโลก
Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun
รฐลธโโLast reviewed: May 2026
รขลโFormula checks are based on standard references and internal QA review.