Combination & Permutation Calculator

This tool calculates both combinations and permutations. It helps you find the number of ways to choose or arrange items.

How to Use This Tool

Follow these simple steps:

1. Enter the total number of items in the first box. This field is marked as "n".
2. Type the number of items you want to select in the second box. This field is labeled "k".
3. Click on the "Calculate Combination" or "Calculate Permutation" button.
4. View the result and explanation below the buttons.

Input Fields Explanation

The "n" field needs a whole number that shows your set's size. The "k" field is where you type how many items you want to choose.

Both numbers must be zero or more. The tool will warn you if a number is negative or if k is greater than n.

Output and Interpretation

The calculator shows the formula and the answer. It explains what the result means.

A combination result counts groups where order does not matter. A permutation result counts arrangements where order matters.

Limitations and Special Notes

Both input fields accept only whole numbers. The tool does not work with decimals or text.

If you enter data that does not fit the rules, a message asks you to correct the values.

Common Use Cases

This calculator is useful for students and professionals alike.

You can use it for:

• Deciding on team selections.
• Computing lottery odds.
• Arranging items or people in order.

The tool shows the result on screen immediately. It gives a clear explanation that helps you see how the calculation works.

Try the combination and permutation calculator for quick answers. It is a practical aid for everyday math challenges.