CALCULATE WITH CONFIDENCE

Set Theory & Logic

Power Set & Subset Calculator

Count and generate the subsets of a short finite set.

Counting & Combinatorics

Generate the subsets of a finite set

Power set · up to 500 rows
Separate items with commas, semicolons, or line breaks.

Number of subsets

—

Enter valid values to see the result.

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Quick guide

How to use this calculator

  1. Enter distinct item labels.
  2. Read the exact number of subsets.
  3. Open the generated list to inspect the empty set and subsets of every size.

Calculation method

Give every item two membership choices

Each of n distinct items is either included or excluded, so a finite set has 2^n subsets.

Worked example

Power set of three items

Three items produce eight subsets, including the empty set and the full set.

2³ = 8

Supported inputs

Precision and limits

Discrete domain

Inputs are whole counts. Negative, fractional, grouped, and scientific-notation inputs are rejected.

Exact integers

Results use arbitrary-precision integers and are never rounded. Inputs and output size are bounded to keep the page responsive.

Generation

Up to 12 distinct labels are accepted and at most 500 subsets are displayed.