MathLiveFactorial
The factorial gives the product of all positive integers up to n, with 0! defined as 1. It is used in counting permutations, combinatorics, series expansions and probability.
n! = \begin{cases} \prod_{k=1}^{n} k & n > 0 \\ 1 & n = 0 \end{cases}What the symbols mean
| non-negative integer whose factorial is taken | |
| integer index running from 1 to n in the product |
About this formula
- FieldMathematics
- TopicCombinatorics
- LevelHigh school
- Also calledfactorial function, n factorial, product of first n integers, n!, factorial definition, factorial of a natural number
- SourceWikidata Q120976
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “factorial”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.