Combinations VBA

mac_see

Active Member
Joined
Oct 15, 2002
Messages
419
Following is a macro based solution form Myrna Larson (Microsoft MVP) on permutation and combinations

1. It allows Combinations or Permutations.
2. The macro handles numbers, text strings, words (e.g. names of people) or symbols.
3. The combinations are written to a new sheet. (This needs to be changed. I want the result into new workbook)
4. Results are returned almost instantaneously.

Setup:
In sheet1:
Cell A1, put “C” (Combinations) or “P” (Permutations).
Cell A2, put the number of items in the subset – in my case it’s 3.
Cells A3 down, your list. - in my case (numbers from 1-5)

My question is:
================

What changes do I need to make to this VBA code to get the result in a new workbook instead of a new sheet.

Maxi
====

CODE:

Option Explicit

Dim vAllItems As Variant
Dim Buffer() As String
Dim BufferPtr As Long
Dim Results As Worksheet
'
' Myrna Larson, July 25, 2000, Microsoft.Public.Excel.Misc

Sub ListPermutationsOrCombinations()
Dim Rng As Range
Dim PopSize As Integer
Dim SetSize As Integer
Dim Which As String
Dim n As Double
Const BufferSize As Long = 4096

Worksheets("Sheet1").Range("A1").Select
Set Rng = Selection.Columns(1).Cells
If Rng.Cells.Count = 1 Then
Set Rng = Range(Rng, Rng.End(xlDown))
End If

PopSize = Rng.Cells.Count - 2
If PopSize < 2 Then GoTo DataError

SetSize = Rng.Cells(2).Value
If SetSize > PopSize Then GoTo DataError

Which = UCase$(Rng.Cells(1).Value)
Select Case Which
Case "C"
n = Application.WorksheetFunction.Combin(PopSize, SetSize)
Case "P"
n = Application.WorksheetFunction.Permut(PopSize, SetSize)
Case Else
GoTo DataError
End Select
If n > Cells.Count Then GoTo DataError

Application.ScreenUpdating = False

Set Results = Worksheets.Add

vAllItems = Rng.Offset(2, 0).Resize(PopSize).Value
ReDim Buffer(1 To BufferSize) As String
BufferPtr = 0

If Which = "C" Then
AddCombination PopSize, SetSize
Else
AddPermutation PopSize, SetSize
End If
vAllItems = 0

Application.ScreenUpdating = True
Exit Sub

DataError:
If n = 0 Then
Which = "Enter your data in a vertical range of at least 4 cells." _
& String$(2, 10) _
& "Top cell must contain the letter C or P, 2nd cell is the Number" _
& "of items in a subset, the cells below are the values from Which" _
& "the subset is to be chosen."

Else
Which = "This requires " & Format$(n, "#,##0") & _
" cells, more than are available on the worksheet!"
End If
MsgBox Which, vbOKOnly, "DATA ERROR"
Exit Sub
End Sub

Private Sub AddPermutation(Optional PopSize As Integer = 0, _
Optional SetSize As Integer = 0, _
Optional NextMember As Integer = 0)

Static iPopSize As Integer
Static iSetSize As Integer
Static SetMembers() As Integer
Static Used() As Integer
Dim i As Integer

If PopSize <> 0 Then
iPopSize = PopSize
iSetSize = SetSize
ReDim SetMembers(1 To iSetSize) As Integer
ReDim Used(1 To iPopSize) As Integer
NextMember = 1
End If

For i = 1 To iPopSize
If Used(i) = 0 Then
SetMembers(NextMember) = i
If NextMember <> iSetSize Then
Used(i) = True
AddPermutation , , NextMember + 1
Used(i) = False
Else
SavePermutation SetMembers()
End If
End If
Next i

If NextMember = 1 Then
SavePermutation SetMembers(), True
Erase SetMembers
Erase Used
End If

End Sub 'AddPermutation

Private Sub AddCombination(Optional PopSize As Integer = 0, _
Optional SetSize As Integer = 0, _
Optional NextMember As Integer = 0, _
Optional NextItem As Integer = 0)

Static iPopSize As Integer
Static iSetSize As Integer
Static SetMembers() As Integer
Dim i As Integer

If PopSize <> 0 Then
iPopSize = PopSize
iSetSize = SetSize
ReDim SetMembers(1 To iSetSize) As Integer
NextMember = 1
NextItem = 1
End If

For i = NextItem To iPopSize
SetMembers(NextMember) = i
If NextMember <> iSetSize Then
AddCombination , , NextMember + 1, i + 1
Else
SavePermutation SetMembers()
End If
Next i

If NextMember = 1 Then
SavePermutation SetMembers(), True
Erase SetMembers
End If

End Sub 'AddCombination

Private Sub SavePermutation(ItemsChosen() As Integer, _
Optional FlushBuffer As Boolean = False)

Dim i As Integer, sValue As String
Static RowNum As Long, ColNum As Long

If RowNum = 0 Then RowNum = 1
If ColNum = 0 Then ColNum = 1

If FlushBuffer = True Or BufferPtr = UBound(Buffer()) Then
If BufferPtr > 0 Then
If (RowNum + BufferPtr - 1) > Rows.Count Then
RowNum = 1
ColNum = ColNum + 1
If ColNum > 256 Then Exit Sub
End If

Results.Cells(RowNum, ColNum).Resize(BufferPtr, 1).Value _
= Application.WorksheetFunction.Transpose(Buffer())
RowNum = RowNum + BufferPtr
End If

BufferPtr = 0
If FlushBuffer = True Then
Erase Buffer
RowNum = 0
ColNum = 0
Exit Sub
Else
ReDim Buffer(1 To UBound(Buffer))
End If

End If

'construct the next set
For i = 1 To UBound(ItemsChosen)
sValue = sValue & ", " & vAllItems(ItemsChosen(i), 1)
Next i

'and save it in the buffer
BufferPtr = BufferPtr + 1
Buffer(BufferPtr) = Mid$(sValue, 3)
End Sub 'SavePermutation
 

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Tazguy37

MrExcel MVP
Joined
May 28, 2004
Messages
4,237
mac_see said:
My question is:
================

What changes do I need to make to this VBA code to get the result in a new workbook instead of a new sheet.

Maxi
====
*snip*
Set Results = Worksheets.Add
*snip*
Results.Cells(RowNum, ColNum).Resize(BufferPtr, 1).Value _

The first line you'd have to change to "Workbooks.Add". The second line you might be able to get away with just .Cells(.... If you make the new workbook active before that second line, and it stays that way, it should work.

Hope that helps!
 

Star Man

New Member
Joined
Feb 1, 2005
Messages
1
Hi all,

excel has calculated all the possible pairs of numbers in this list and printed out the results as follows.

2 , 9 , 14 , 16 , 29 , 35


CODE:

Option Base 1
Sub combine()
Dim nos, i As Integer, j As Integer, iRow As Integer
nos = Array(2, 9, 14, 16, 29, 35)
iRow = 1
For i = 1 To 6
For j = 1 To 6
If j > i Then
ActiveSheet.Cells(iRow, 1).Value = nos(i)
ActiveSheet.Cells(iRow, 2).Value = nos(j)
iRow = iRow + 1
End If
Next j
Next i
End Sub

Is it possible to generalise the above code so that it can be used to generate all the combinations of say 5 objects from a total of 9 objects or 11 objects from a total of 15 objects etc.

I'm no good at this, so would appreciate some guidance

Thanks in advance
Star Man
 

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