About This Calculator
This Combination Calculator helps you compute the number of possible combinations (nCr) for selecting r items from a group of n items. It applies the standard factorial formula and shows both the final result and detailed steps.
How It Works
- Enter the total number of items (n).
- Enter the number of items to choose (r).
- Click "Calculate" to compute C(n, r), along with a factorial-based explanation.
C(n, r)=n!r!(n − r)!
Frequently Asked Questions
What is a combination?
A combination refers to selecting items from a group where the order does not matter. For example, choosing 3 cards from 10.
What is the difference between combination and permutation?
In combinations, the order of selected items does not matter. In permutations, the order matters.
Can I calculate large combinations?
Yes, the calculator supports large values of n and r, up to 100. It uses optimized factorial simplification.
What is the exponential growth of combinations?
As n increases, the number of combinations can grow rapidly. This calculator handles the math accurately and efficiently.