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https://issues.apache.org/jira/browse/CALCITE-6077?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17780045#comment-17780045
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Julian Hyde commented on CALCITE-6077:
--------------------------------------

Do these dialects have functions for combinations and permutations?
{quote}
p(n, r) = n! / (n - r)!
c(n, r) = n! / (r! . (n - r)!)
{quote}

These are related to factorial but are more useful because, by dividing 
factorials by factorials, they tend to stay in a useful range of values. 

> Add FACTORIAL functions (enabled in Hive and Spark library)
> -----------------------------------------------------------
>
>                 Key: CALCITE-6077
>                 URL: https://issues.apache.org/jira/browse/CALCITE-6077
>             Project: Calcite
>          Issue Type: New Feature
>          Components: core
>    Affects Versions: 1.35.0
>            Reporter: Runkang He
>            Assignee: Runkang He
>            Priority: Major
>
> Add FACTORIAL functions (enabled in Hive and Spark library)
> FACTORIAL(expr): Returns the factorial of expr. expr is [0..20]. Otherwise, 
> returns NULL.
> For example:
> {code:sql}
> SELECT factorial(5); 
> >120
> {code}
> See more at 
> [Hive|https://cwiki.apache.org/confluence/display/hive/languagemanual+udf#LanguageManualUDF-MathematicalFunctions]
>  and 
> [Spark|https://spark.apache.org/docs/latest/api/sql/index.html#factorial] doc.



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