Combinations Calculator
Calculate the number of combinations C(n, r) — the number of ways to choose r items from n total items where order does not matter.
How to Use the Combinations Calculator
- Enter your data set or statistical values in the input fields.
- Click Calculate to process the data.
- Review the computed result with detailed breakdown.
- Modify inputs or add more data points for further analysis.
Referencia Rápida
| De | A |
|---|---|
| Mean [2,4,6] | 4 |
| Median [1,3,5,7] | 4 |
| Mode [2,2,3,5] | 2 |
| σ [2,4,4,4,5,5,7,9] | 2 |
| z-score (x=85, μ=70, σ=10) | 1.5 |
| P(A)+P(B)−P(A∩B) | P(A∪B) |
Casos de Uso
- •Analyzing data sets for research papers or school projects.
- •Checking statistical calculations before including them in reports.
- •Understanding data distributions and variability in experiments.
- •Making data-driven decisions in business or academic contexts.
Fórmula
C(n, r) = n! / (r! × (n−r)!), where n is the total number of items and r is the number chosen. Order does not matter.
Preguntas Frecuentes
What is a combination?
A combination is an unordered selection of items. C(n, r) counts the ways to choose r items from n, where order does not matter.
What is the difference between combinations and permutations?
Combinations ignore order (AB = BA). Permutations count order (AB ≠ BA). C(n,r) = P(n,r) / r!.
What is C(n, 0)?
C(n, 0) = 1 for any n. There is exactly one way to choose zero items — choose nothing.
What is C(n, n)?
C(n, n) = 1. There is exactly one way to choose all n items.