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https://issues.apache.org/jira/browse/MATH-1652?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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nimo mayr updated MATH-1652:
----------------------------
    Description: 
The class 
{color:#d8d8d8} org.apache.commons.math3.util.CombinatoricsUtils{color}

within the method 
{color:#8dcbe2}public{color}{color:#d8d8d8} 
{color}{color:#8dcbe2}static{color}{color:#d8d8d8} 
{color}{color:#8dcbe2}long{color}{color:#d8d8d8} 
{color}{color:#bed6ff}binomialCoefficient{color}{color:#d8d8d8}({color}{color:#8dcbe2}final{color}{color:#d8d8d8}
 {color}{color:#8dcbe2}int{color}{color:#d8d8d8} 
{color}{color:#79abff}n{color}{color:#d8d8d8}, 
{color}{color:#8dcbe2}final{color}{color:#d8d8d8} 
{color}{color:#8dcbe2}int{color}{color:#d8d8d8} 
{color}{color:#79abff}k{color}{color:#d8d8d8}){color}

contains the following comments:
{color:#c7dd0c}// We use the formula{color}

{color:#d8d8d8} {color}{color:#c7dd0c}// (n choose k) = n! / (n-k)! / k!  
{color:#172b4d}(WRONG COMMENT!){color}{color}


{color:#c7dd0c}// (n choose k) == ((n-k+1){*}...*n) / (1{*}...*k){color}

{color:#d8d8d8} {color}{color:#c7dd0c}// which could be written{color}

{color:#d8d8d8} {color}{color:#c7dd0c}// (n choose k) == (n-1 choose k-1) * n / 
k{color}

 

I think, the second line

{color:#172b4d}"(n choose k) = n! / (n-k)! / k!" {color}

must be written to

{color:#c7dd0c}"{color}(n choose k) = n! / (n-k)! * k!{color:#172b4d}"{color}.

  was:
The class 
{color:#d8d8d8} org.apache.commons.math3.util.CombinatoricsUtils{color}

within the method 
{color:#8dcbe2}public{color}{color:#d8d8d8} 
{color}{color:#8dcbe2}static{color}{color:#d8d8d8} 
{color}{color:#8dcbe2}long{color}{color:#d8d8d8} 
{color}{color:#bed6ff}binomialCoefficient{color}{color:#d8d8d8}({color}{color:#8dcbe2}final{color}{color:#d8d8d8}
 {color}{color:#8dcbe2}int{color}{color:#d8d8d8} 
{color}{color:#79abff}n{color}{color:#d8d8d8}, 
{color}{color:#8dcbe2}final{color}{color:#d8d8d8} 
{color}{color:#8dcbe2}int{color}{color:#d8d8d8} 
{color}{color:#79abff}k{color}{color:#d8d8d8}){color}

contains the following comments:
{color:#c7dd0c}// We use the formula{color}

{color:#d8d8d8} {color}{color:#c7dd0c}// (n choose k) = n! / (n-k)! / k!  
{color:#172b4d}(WRONG COMMENT!){color}
{color}

{color:#d8d8d8} {color}{color:#c7dd0c}// (n choose k) == ((n-k+1){*}...*n) / 
(1{*}...*k){color}

{color:#d8d8d8} {color}{color:#c7dd0c}// which could be written{color}

{color:#d8d8d8} {color}{color:#c7dd0c}// (n choose k) == (n-1 choose k-1) * n / 
k{color}

 

I think, the second line

{color:#172b4d}"(n choose k) = n! / (n-k)! / k!" {color}

must be written to 

{color:#c7dd0c}"{color}(n choose k) = n! / (n-k)! * k!{color:#172b4d}"{color}.


> comments about the formula of binomialCoefficient wrong
> -------------------------------------------------------
>
>                 Key: MATH-1652
>                 URL: https://issues.apache.org/jira/browse/MATH-1652
>             Project: Commons Math
>          Issue Type: Improvement
>            Reporter: nimo mayr
>            Priority: Minor
>
> The class 
> {color:#d8d8d8} org.apache.commons.math3.util.CombinatoricsUtils{color}
> within the method 
> {color:#8dcbe2}public{color}{color:#d8d8d8} 
> {color}{color:#8dcbe2}static{color}{color:#d8d8d8} 
> {color}{color:#8dcbe2}long{color}{color:#d8d8d8} 
> {color}{color:#bed6ff}binomialCoefficient{color}{color:#d8d8d8}({color}{color:#8dcbe2}final{color}{color:#d8d8d8}
>  {color}{color:#8dcbe2}int{color}{color:#d8d8d8} 
> {color}{color:#79abff}n{color}{color:#d8d8d8}, 
> {color}{color:#8dcbe2}final{color}{color:#d8d8d8} 
> {color}{color:#8dcbe2}int{color}{color:#d8d8d8} 
> {color}{color:#79abff}k{color}{color:#d8d8d8}){color}
> contains the following comments:
> {color:#c7dd0c}// We use the formula{color}
> {color:#d8d8d8} {color}{color:#c7dd0c}// (n choose k) = n! / (n-k)! / k!  
> {color:#172b4d}(WRONG COMMENT!){color}{color}
> {color:#c7dd0c}// (n choose k) == ((n-k+1){*}...*n) / (1{*}...*k){color}
> {color:#d8d8d8} {color}{color:#c7dd0c}// which could be written{color}
> {color:#d8d8d8} {color}{color:#c7dd0c}// (n choose k) == (n-1 choose k-1) * n 
> / k{color}
>  
> I think, the second line
> {color:#172b4d}"(n choose k) = n! / (n-k)! / k!" {color}
> must be written to
> {color:#c7dd0c}"{color}(n choose k) = n! / (n-k)! * k!{color:#172b4d}"{color}.



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