Please Note: This article is written for users of the following Microsoft Excel versions: 97, 2000, 2002, and 2003. If you are using a later version (Excel 2007 or later), this tip may not work for you. For a version of this tip written specifically for later versions of Excel, click here: Listing Combinations.

Listing Combinations

by Allen Wyatt
(last updated May 9, 2016)

10

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. For instance, if you put 26 letters (A through Z) in cell A1 and the value 5 in cell A2, the macro will crash. Why? Because there are 65,780 possible five-character combinations and only 65,536 rows in which to place them.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (6766) applies to Microsoft Excel 97, 2000, 2002, and 2003. You can find a version of this tip for the ribbon interface of Excel (Excel 2007 and later) 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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Comments

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What is 7 - 0?

2017-02-02 14:24:35

Carlos Santiago

What's the word on the error I get at: "For k = 1 To j – 1"


2016-11-03 11:33:30

Guy

I would like to create a comma delimited string of names in cell A0...
Dim arrWsNames() As String
arrWsNames = Split(Cells(1, 1).Value, ",")

and then pass this array to your routine Cnr ->
Cnr arrWsNames, 2

I would then like to generate the matrix of name combinations from the array... are you able to show me how please...?
Thank you in advance.


2016-08-04 09:36:41

Brittany

I get an error: "For k = 1 To j – 1" does anybody knows what I can do?


2015-07-22 17:06:50

PAUL

If I have a table with 4 rows and 5 columns to select a set of 4, how many combinations will I have if I must select only one item from each row but can select one or more from a column. See table below

A1 B1 C1 D1 E1
A2 B2 C2 D2 E2
A3 B3 C3 D3 E3
A4 B4 C4 D4 E4



2014-12-11 06:02:48

Ruud

I get an error: "For k = 1 To j – 1" does anybody knows what I can do?


2014-05-03 08:51:00

Ralph

Hi

I Have copied the code in Sub Testcnr() to a module and tried to run it. The debugger gives me variable i "not Defined" What do I need to do to get this code to run.

Thanks in advance for your assistance
Ralph


2014-03-26 23:45:50

sue

how do I continue from one worksheet to the next if there is not enough rows to complete the task


2013-06-03 15:07:50

Marie Vasco

Hi,

let's say we want to use this but the combinations are going to go past excel's limit of over 1,000,000 rows. How can we modify this macro so that we can "spill" the combinations to another sheet in the same excel workbook after excel reaches it limit in the sheet that it is in?

I greatly appreciate your help :)

Thanks!


2013-03-12 05:02:56

WanLu

could you show me how to list out all the 13-digits combination?
Thanks!


2013-02-10 12:26:28

Sebastian

Ok, so in the line (Line 2) that reads:

Cnr 10, 4

If I change that to:

Cnr 12, 9

I would get a list of all the 9-digit combinations from the set of numbers 1,2,3,4,5,6,7,8,9,10,11 and 12? Right?

Thanks!


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