## List permutations with repetition [UDF]

This blog post demonstrates a custom function (UDF) that creates permutations. Repetition is allowed. The custom function lets you specify the number of items to use and it will return an array of numbers.

Array formula:

To enter an array formula, type the formula in a cell then press and hold CTRL + SHIFT simultaneously, now press Enter once. Release all keys.

The formula bar now shows the formula with a beginning and ending curly bracket telling you that you entered the formula successfully. Don't enter the curly brackets yourself.

### Vba

Function ListPermut(num As Integer) 'Permutations with repetition Dim c As Long, r As Long, p As Long Dim rng() As Long p = num ^ num ReDim rng(1 To p, 1 To num) For c = 1 To num rng(1, c) = 1 Next c For r = 2 To p For c = num To 1 Step -1 If c = num Then rng(r, c) = rng(r - 1, c) + 1 ElseIf rng(r, c) = 0 Then rng(r, c) = rng(r - 1, c) End If If rng(r, c) = num + 1 Then rng(r, c) = 1 rng(r, c - 1) = rng(r - 1, c - 1) + 1 End If Next c Next r ListPermut = rng End Function

### How to add the user defined function to your workbook

The image above shows a macro that is not used in this article, it is only there to show you where to paste the code.

- Press Alt-F11 to open visual basic editor.
- Click Module on the Insert menu.
- Copy the above user defined function.
- Paste it to the code module.
- Exit visual basic editor.
- Select sheet1.
- Select cell range A1:C27.
- Type
**=ListPermut(3)**in formula bar and press CTRL+SHIFT+ENTER (Array formula).

If you don't know how to enter an array formula then read the detailed instructions below the image.

Example,

Array formula in A3:C29:

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### 4 Responses to “List permutations with repetition [UDF]”

### Leave a Reply to Antonio Sousa

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I would need to use the ListPermut function with argument 7. As I can understand it only works to a maximum of 6.

Thanks,

Antonio

I'll post an answer as soon as I can.

I'm trying to use the function for obtaining the possibilities of distributing 3 things over 5 places (repetition allowed), but the function is not workings on this option, can you please help ??

example:

A,A,B,B,C

A,A,B,B,B

A,C,B,B,A

and so on....

Thanks in advance

and also the number 5 can be changed to be from 1 to 8 but the number 3 is constant. Thank you