Why is the input capped at 12 items?

A powerset doubles in size with every added item, 2^n subsets for n items, so 12 items already means 4096 subsets. Beyond that the output becomes impractically large, so the tool returns a clear error instead.

Does the powerset include the empty set and the full list?

Yes, both are always present: the empty set appears as "{ }" and the full list appears as one subset containing every item.

What order are the subsets generated in?

They're generated by counting a binary mask from 0 up to 2^n - 1, where each bit represents whether an item is included, so the empty set is always first and the full set is always last.

Is this the same as generating all permutations?

No. A powerset is every possible subset regardless of order; permutations are every possible ordering of the same items. Use a dedicated permutation tool if you need orderings instead.

List Powerset Generator Online - Every Subset of a List

Overview

Introduction

Some problems, like checking every possible combination of settings or ingredients, require looking at every subset of a list, not just the list itself.

This tool generates that complete powerset for you, one subset per line, so you can scan or copy every combination at once.

What Is List Powerset Generator?

A generator for the mathematical powerset of a list: every possible subset of its items, from the empty set up to the full list.

Because the number of subsets doubles with every item (2^n for n items), input is capped at 12 items to keep the output a manageable 4096 lines at most.

How List Powerset Generator Works

Each integer from 0 to 2^n - 1 is treated as an n-bit mask; bit i being set means item i is included in that subset.

For every mask, the included items are collected in original order and formatted as "{ item1, item2 }", with the empty set rendered as "{ }".

When To Use List Powerset Generator

Use it to enumerate every possible combination of a small set of options, features, or ingredients for testing or menu planning.

It's also a quick way to sanity-check combinatorics homework or explain what a powerset looks like concretely.

Often used alongside List Reducer, Sublist Extractor and List Splitter.

Features

Advantages

Produces the complete, correctly-ordered powerset with no missing or duplicate subsets.
The 12-item cap protects you from accidentally generating an unmanageable number of lines.
Works with any separator, so short comma-separated lists are just as easy as newline-separated ones.

Limitations

Capped at 12 items; larger lists must be split first (try Sublist Extractor) or reduced before generating a powerset.
Does not deduplicate subsets when the input list itself contains duplicate items, so duplicate items produce visually duplicate subsets.

Examples

Powerset of a 3-item list

Input

a
b
c

Output

{ }
{ a }
{ b }
{ a, b }
{ c }
{ a, c }
{ b, c }
{ a, b, c }

All 2^3 = 8 subsets are listed, from the empty set to the full 3-item set.

Powerset of a 2-item comma list

Input

red,blue

Output

{ }
{ red }
{ blue }
{ red, blue }

A 2-item list produces exactly 2^2 = 4 subsets.

Best Practices & Notes

Best Practices

Keep lists short (well under the 12-item cap) since even 10 items already produce 1024 subsets to scan through.
Deduplicate your input list first if repeated items would make the subset list confusing.

Developer Notes

Subsets are generated with a bitmask loop from 0 to 2**n - 1 and a bitwise AND (mask & (1 << i)) to test inclusion, an O(n * 2^n) approach that's simple and exact for the capped input size.

List Powerset Generator Use Cases

Enumerating every combination of a small number of feature flags or settings for test coverage
Listing every possible ingredient combination for a small recipe or menu
Teaching or demonstrating what a mathematical powerset looks like

Common Mistakes

Trying to run a large list (say, 20 items) through the tool and expecting it to work; it will refuse above 12 items on purpose.
Confusing a powerset (every possible subset) with permutations (every possible ordering).
Not accounting for the empty set, which is always the first line of output.

Tips

Start with a short 2-3 item list to see the pattern before scaling up to your real list.
Copy the output into a spreadsheet if you need to sort or filter the subsets afterward.

List Powerset Generator