what's the formula for calculating all of the possible number combinations in a
given number?

so, if the number was 123, there would be 213,231, 321, 312 and so on.

just want to list them in 1 row.

thanks

--


Gary

If you're asking how many combinations, it's K to the Nth power, where K is
the number of values each digit can be, and N is the number of digits. So,
for your case, it's 3-cubed or 27.

If each digit could be 0 thru 9, it would be 10-cubed or 1000. We know this
must be right because we know the number of integers between 0 and 999 (same
as between 1 and 1000)!

Dean

"Gary Keramidas" <GKeramidasATmsn.com wrote in message
...
what's the formula for calculating all of the possible number combinations
in a given number?

so, if the number was 123, there would be 213,231, 321, 312 and so on.

just want to list them in 1 row.

thanks

--


Gary

Gary,

Do a google search on Combinations and Permutations with an author of Myrna
Larson, she has posted a solution many times.

--
HTH

Bob Phillips

(remove nothere from email address if mailing direct)

"Gary Keramidas" <GKeramidasATmsn.com wrote in message
...
what's the formula for calculating all of the possible number combinations
in a
given number?

so, if the number was 123, there would be 213,231, 321, 312 and so on.

just want to list them in 1 row.

thanks

--


Gary

well this code doesn't work for me, and i can't believe i need a hundred lines
of code to give me the conbinations of 3 or 4 numbers.
has to be an easier way, all i need is combinations. someone must have done this
hundreds of times

Option Explicit

Dim vAllItems As Variant
Dim Buffer() As String
Dim BufferPtr As Long
Dim Results As Worksheet

Sub ListPermutations()
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

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

found something on j -walk's site

--


Gary


"Bob Phillips" wrote in message
...
Gary,

Do a google search on Combinations and Permutations with an author of Myrna
Larson, she has posted a solution many times.

--
HTH

Bob Phillips

(remove nothere from email address if mailing direct)

"Gary Keramidas" <GKeramidasATmsn.com wrote in message
...
what's the formula for calculating all of the possible number combinations
in a
given number?

so, if the number was 123, there would be 213,231, 321, 312 and so on.

just want to list them in 1 row.

thanks

--


Gary