Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, 2016, 2019, and Excel in Office 365. If you are using an earlier version (Excel 2003 or earlier), this tip may not work for you. For a version of this tip written specifically for earlier versions of Excel, click here: Listing Combinations.

Listing Combinations

by Allen Wyatt
(last updated February 16, 2019)

Ron knows he can use the COMBIN function to determine the number of combinations that can be made from a number of digits. He's wondering, however, if there is a way to list out all the combinations themselves.

There is no built-in way to list combinations in Excel. You can, however, create a macro to do the listing for you. If you want to find the unique combinations in a set of sequential numbers starting at 1, then the following set of macros will do the trick. All you need to do is run the function TestCNR and you will end up with a "matrix" of cells that represent the number of 4-digit combinations in the sequential set of values ranging from 1 to 10.

```Sub TestCNR()
Cnr 10, 4
End Sub
```
```Sub Cnr(n, r)
i = 1
For j = 1 To r
Cells(i, j).Value = j
Next

Do Until Finished(n, r, i)
j = FindFirstSmall(n, r, i)
For k = 1 To j — 1
Cells(i + 1, k).Value = Cells(i, k).Value
Next
Cells(i + 1, j).Value = Cells(i, j).Value + 1
For k = j + 1 To r
Cells(i + 1, k).Value = Cells(i + 1, k - 1).Value + 1
Next
i = i + 1
Loop
End Sub
```
```Function Finished(n, r, i)
Temp = True

For j = r To 1 Step -1
If Cells(i, j).Value <> j + (n - r) Then
Temp = False
End If
Next
Finished = Temp
End Function

Function FindFirstSmall(n, r, i)
j = r
Do Until Cells(i, j).Value <> j + (n - r)
j = j - 1
Loop
FindFirstSmall = j
End Function
```

The macro overwrites whatever is in your worksheet, so make sure you run the test with a blank worksheet displayed. If you want to change the size of the set or the number of elements in the subset, just change the values passed in the TestCNR routine.

If you want to pull unique combinations from a string of characters (for instance, the letters of the alphabet), then you need to use a different set of macros. The following will work fine; it assumes that the characters you want to use as your "universe" is in cell A1 and the number you want in each unique combination is in cell A2.

```Sub FindSets()
Dim iA() As Integer
Dim sUniv As String
Dim iWanted As Integer
Dim j As Integer
Dim k As Integer

sUniv = Cells(1, 1).Value
iWanted = Cells(2, 1).Value

ReDim iA(iWanted)
For j = 1 To iWanted
iA(j) = j
Next j

iRow = PutRow(iA, sUniv, 1)

Do Until DoneYet(iA, Len(sUniv))
j = WorkHere(iA, Len(sUniv))
iA(j) = iA(j) + 1
For k = j + 1 To iWanted
iA(k) = iA(k - 1) + 1
Next k
iRow = PutRow(iA, sUniv, iRow)
Loop
End Sub
```
```Function DoneYet(iB, n) As Boolean
iMax = UBound(iB)
Temp = True
For j = iMax To 1 Step -1
If iB(j) <> j + (n - iMax) Then
Temp = False
End If
Next
DoneYet = Temp
End Function
```
```Function WorkHere(iB, n) As Integer
iMax = UBound(iB)
j = iMax
Do Until iB(j) <> j + (n - iMax)
j = j - 1
Loop
WorkHere = j
End Function
```
```Function PutRow(iB, sUniv, i)
iMax = UBound(iB)
sTemp = ""
For j = 1 To iMax
sTemp = sTemp & Mid(sUniv, iB(j), 1)
Next j
Cells(i, 2).Value = sTemp
PutRow = i + 1
End Function
```

Run the FindSets macro and the different combinations desired end up in column 2. Be careful when running the macro, however. The number of combinations can get very large very quickly.

Note:

If you would like to know how to use the macros described on this page (or on any other page on the ExcelTips sites), I've prepared a special page that includes helpful information. Click here to open that special page in a new browser tab.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (11891) applies to Microsoft Excel 2007, 2010, 2013, 2016, 2019, and Excel in Office 365. You can find a version of this tip for the older menu interface of Excel here: Listing Combinations.

Author Bio

Allen Wyatt

With more than 50 non-fiction books and numerous magazine articles to his credit, Allen Wyatt is an internationally recognized author. He is president of Sharon Parq Associates, a computer and publishing services company. ...

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What is 3 - 0?

2019-07-08 07:04:44

Graham

Hi Allen, I'm attempting to list out combinations for a set of numbers, such as 11, 12, 13, 14, 15, 16 in 4-digit combinations (eg 12 13 14 15; 11 13 15 16;). I've tried the second set of macros and have not figured out a way to separate the numbers in a single cell for excel to recognise the 2 characters a whole - 1 integer (eg 12 not 1 AND THEN 2). Is this doable by adjusting the second set of macros above or can this be accomplished at all with excel? Thank you. Graham

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