Subset Calculator

Subset Calculator

Calculate the number of subsets and proper subsets in a set.

Last updated: June 2026 | By Patchworkr Team

Calculation steps
Count the elements in the set.
Subsets = 2^n = 8.
Proper subsets = 2^n - 1 = 7.
Set size
3 elements
Total subsets: 8
Proper subsets: 7

What Is a Subset?

A subset is any collection formed from elements of the original set.

How To Count Subsets

  1. Count the number of elements in the set.
  2. Raise 2 to that power.
  3. Subtract 1 if you want proper subsets only.

Frequently Asked Questions

Does the order matter?

No. Subsets are about membership, not order.

Does the empty set count?

Yes. The empty set is a subset of every set.

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