Subset Calculator

Your details

Choose whether to type in actual set elements or just specify how many elements the set has.
Enter the elements of your set, separated by commas. Duplicate values are ignored.
How many subsets contain exactly k elements? Leave blank or 0 to skip.
Total subsets (power set size)
8

2^n, including the empty set and the set itself

Proper subsets7
Subsets of size k3
Power set (all subsets listed)∅, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}
n (number of elements)3
Total subsets8
Proper subsets7
Subsets of size k3

Your 3-element set generates 8 subsets.

  • A set with 3 elements has 8 total subsets (2^3), counting the empty set and the full set.
  • There are 7 proper subsets - every subset except the set itself.
  • Exactly 3 of those subsets have precisely 2 elements, which equals C(3, 2).

Next stepScroll down to see every subset listed in the power set.

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