MathLiveBinomial coefficient
Gives the number of ways to choose k items from n items when order does not matter. It appears throughout combinatorics, probability and the binomial theorem.
{n \choose k} = \frac{n!}{k! \, (n-k)!}What the symbols mean
| total number of items, a non-negative integer | |
| number of items chosen, an integer with 0 \le k \le n | |
| factorial of n, the product of all positive integers up to n | |
| factorial of k | |
| factorial of n minus k |
About this formula
- FieldMathematics
- TopicCombinatorics
- LevelHigh school
- Also calledn choose k, choose function, binomial coefficient formula, number of combinations, combinations formula, nCk
- SourceWikidata Q4516348
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