Combination Calculator

Calculate Combinations & Permutations

Combination

nCr (order doesn't matter)

Permutation

nPr (order matters)

Poker Hand

5 cards from 52-card deck

Lottery

6 numbers from 49

Team Selection

4 players from 12

3-Letter Code

From 26 letters (permutation)

Formulas

Combination Formula (nCr)

Order does NOT matter. Choosing A,B,C is the same as choosing C,B,A.

C(n, r) = n! / (r! × (n-r)!)

Example: Choosing a committee of 3 from 10 people = C(10,3) = 120 ways

Permutation Formula (nPr)

Order DOES matter. Arranging A,B,C is different from C,B,A.

P(n, r) = n! / (n-r)!

Example: Gold, Silver, Bronze from 10 athletes = P(10,3) = 720 ways

Factorial (n!)

The product of all positive integers up to n.

n! = n × (n-1) × (n-2) × ... × 2 × 1

Special case: 0! = 1 by definition

When to Use Each

Scenario	Use	Why
Lottery numbers	Combination	Order of numbers doesn't matter
Password/PIN	Permutation	1234 ≠ 4321
Committee selection	Combination	Same people regardless of order
Race podium (1st, 2nd, 3rd)	Permutation	Positions are different

Privacy & Limitations

All calculations run entirely in your browser -- nothing is sent to any server.
Results are computed using standard formulas and should be verified for critical applications.

Related Tools

Mean Median Mode Calculator -- Calculate mean, median, mode, range, and more statistics from a dataset
Moving Average Calculator -- Calculate simple, weighted, and exponential moving averages from a data series
Quadratic Formula Calculator -- Solve ax² + bx + c = 0 with step-by-step solution
Standard Deviation Calculator -- Calculate standard deviation, variance, and other statistics from a dataset

Related Tools

View all tools

Percentage Calculator

Calculate percentages, find X% of Y, percentage change

Ratio Calculator

Simplify a ratio and see the reduced form

Number to Words Converter

Convert numbers to written English words

Scientific Notation Converter

Convert between standard and scientific notation

Decimal to Fraction Converter

Convert decimals to fractions and vice versa

Quadratic Formula Calculator

Solve ax² + bx + c = 0 with step-by-step solution

Combination Calculator FAQ

What is Combination Calculator?

Combination Calculator is a free math tool that helps you Calculate nCr combinations and nPr permutations.

How do I use Combination Calculator?

Enter your input values, review the calculated output, and adjust inputs until you reach the result you need. The result updates in your browser.

Is Combination Calculator private?

Yes. Calculations run locally in your browser. Inputs are not uploaded to a server by default, and refreshing the page clears session data.

Does Combination Calculator require an account or installation?

No. You can use this tool directly in your browser without sign-up or software installation.

How accurate are results from Combination Calculator?

This tool applies standard formulas or deterministic processing logic for estimates. For medical, legal, tax, or investment decisions, verify with a qualified professional.

Can I save or share outputs from Combination Calculator?

You can bookmark this page and copy outputs manually. Results are not persisted in your account and are typically not embedded in the URL.