List permutations with repetition and how many to choose from
Noel asks:
Is there a way where i can predict all possible outcomes in excel in the below example.
Total games are 13 (ABCDEFGHIJKLM). Possible outcomes are win(home team),draw or win(Away team) represented by 1,X or 2 respectively.Outcomes should be in the below formats
111111111111X
11111111111XX
2222222X22221
222222222222X
The following macro lets you enter text strings separated by a comma and the number of games.
Sub ListPermut() 'This macro creates a list of all permutations 'Get digital Help  http://www.getdigitalhelp.com/ 'Define variables Dim ws As Worksheet, Ans As String, ans1() As String, digits As Integer Dim num As Integer, p As Long, i As Long, t As Long Dim rng() As Long, c As Long, rng1() As String 'Insert a new sheet Set ws = Sheets.Add 'Ask for user input Ans = InputBox("Type strings separated with a comma:") digits = InputBox("How many strings?") 'Split text strings to an array ans1 = Split(Ans, ",") 'Count values in aray num = UBound(ans1) + 1 'Calculate number of permutations p = num ^ digits 'Redimension arrays ReDim rng(1 To digits) ReDim rng1(1 To digits) 'Save 1 to all values in first row of array For c = 1 To digits rng(c) = 1 Next c i = 0 'Don't show the result until finished Application.ScreenUpdating = False 'Repeat until all permutations have been created Do Until (i + t) = (p  1) 'Use text strings instead of numbers For c = LBound(rng1) To UBound(rng1) rng1(c) = ans1(rng(c)  1) Next c 'Transfer values from array to worksheet ws.Range("A1").Resize(, digits).Offset(i) = rng1 'Build next row of permutations For c = digits To 1 Step 1 If c = digits Then rng(c) = rng(c) + 1 ElseIf rng(c) = 0 Then rng(c) = rng(c  1) End If If rng(c) = num + 1 Then rng(c) = 1 rng(c  1) = rng(c  1) + 1 End If Next c 'Count made permutations i = i + 1 'Insert a new sheet if rows exceed 999 999 If i = 1000000 Then Set ws = Sheets.Add t = t + 1000000 i = 0 End If Loop 'Use text strings instead of numbers For c = LBound(rng1) To UBound(rng1) rng1(c) = ans1(rng(c)  1) Next c 'Transfer values from array to worksheet ws.Range("A1").Resize(, digits).Offset(i) = rng1 'Show output Application.ScreenUpdating = True End Sub
Where to copy code?
 Press AltF11 to open visual basic editor
 Click Module on the Insert menu

Copy and paste code above to the code module
 Exit visual basic editor (Alt+Q)
 Save your workbook as a *.xlsm file
How to run macro?
 Press Alt+F8 to open the macro dialog box
 Click ListPermut macro
 Click Run
Instructions
Enter your text strings using a comma as a text delimiting character.
Click OK button.
Enter number of games.
Click OK button.
Excel processes the data for a while and then creates two sheets with a total of 1594323 permutations.
The picture shows 14 out of 1594323 permutations.
Download excel *.xlsm file
How to use the PERMUTATIONA function
The PERMUTATIONA function returns the number of permutations for a specific number of elements that can be selected from a [โฆ]
Excelxor is such a great website for inspiration, I am really impressed by this post Which numbers add up to [โฆ]
2 Responses to โList permutations with repetition and how many to choose fromโ
Leave a Reply
How to comment
How to add a formula to your comment
<code>Insert your formula here.</code>
Convert less than and larger than signs
Use html character entities instead of less than and larger than signs.
< becomes < and > becomes >
How to add VBA code to your comment
[vb 1="vbnet" language=","]
Put your VBA code here.
[/vb]
How to add a picture to your comment:
Upload picture to postimage.org or imgur
Paste image link to your comment.
Contact Oscar
You can contact me through this contact form
I have 17 games to bet, and am suppose to choose win, loose and draw.
How can I create a table with 17,matches with win,lose and draw? How many table will appear?
jimmy munisi,
The outcome is either win, lose or draw, three possibilities.
There are 17 games. 3^17 = 129 140 163 permutations.
If you want to list all permutations in a workbook, each sheet has 1 048 576 rows.
129 140 163 / 1 048 576 = 123.1 sheets
You need 124 worksheets in a workbook to list all permutations.