Free Online Combination Generator - List All Selections

How to Use

1. Enter Items: Input items separated by commas (e.g., A, B, C, D)
2. Choose Size: Select how many items to pick (r)
3. Click Generate: Create all combinations instantly
4. View Results: See total count and all combinations
5. Copy Results: Export combinations for other uses

Understanding Combinations

A combination is a selection of items where order doesn't matter. The number of ways to choose r items from n items is given by the binomial coefficient C(n,r).

Formula

Binomial Coefficient: C(n,r) = n! / (r! × (n-r)!)

Where n is total items and r is items to select.

Examples

Example 1: Choose 2 from {A, B, C}

Combinations (C(3,2) = 3):

• AB, AC, BC

Example 2: Choose 2 from {1, 2, 3, 4}

Combinations (C(4,2) = 6):

• 12, 13, 14, 23, 24, 34

Example 3: Choose 3 from {Red, Blue, Green, Yellow}

Combinations (C(4,3) = 4):

• Red-Blue-Green, Red-Blue-Yellow, Red-Green-Yellow, Blue-Green-Yellow

Key Features

• Generate combinations from up to 20 items
• Choose any selection size (r)
• Show total count (binomial coefficient)
• Display all combinations
• Copy results easily
• Fast computation
• Mobile-friendly interface

Combinations vs Permutations

• Combinations: Order doesn't matter (AB = BA)
• Permutations: Order matters (AB ≠ BA)
• Combinations: "How many ways to select?"
• Permutations: "How many ways to arrange?"