Subset Calculator

How to Use the Subset Calculator

1. Enter the elements of your set in the input field, separated by commas. For example: A, B, C, D
2. Click the "Calculate" button to generate all possible subsets and display the total number of subsets.
3. The calculator will show all subsets, each on a new line, and also display the total number of subsets (which is 2ⁿ where n is the number of elements in your set).
4. Click "Reset" to clear all inputs and results.

Working Principle

A set with n elements has 2ⁿ possible subsets. This includes the empty set and the set itself. The calculator uses binary representation to generate all possible combinations of elements:

• For a set with 3 elements (A, B, C), there are 2³ = 8 subsets
• Each subset corresponds to a binary number from 0 to 2ⁿ-1
• If a bit in the binary representation is 1, the corresponding element is included in the subset

Example

For the set {A, B, C}, the subsets are:

• {} (empty set)
• {A}
• {B}
• {C}
• {A, B}
• {A, C}
• {B, C}
• {A, B, C}

As shown, there are 8 subsets in total (2³ = 8).