All possible permutation/combinations

Dr. Demento

Well-known Member
Joined
Nov 2, 2010
Messages
608
Office Version
  1. 2019
  2. 2016
Platform
  1. Windows
Good morning!

Forgive me, but I don't remember the difference between permutations and combinations, so hopefully my explanation points in the proper direction.

I have two ordered lists (NORTH|SOUTH|EAST|WEST) and (N|S|E|W) and I want to make a listing of all permutations/combinations?? substituting N for NORTH, S for SOUTH, etc. The order of the values is fixed as shown.

For example, if I start with the first row, I want all possible perms/combos with both the full word and the abbreviation, as shown with the next four lines.


|-------|-------|-------|-------|
| NORTH | SOUTH | EAST | WEST |
|-------|-------|-------|-------|
| N | SOUTH | EAST | WEST |
|-------|-------|-------|-------|
| N | S | EAST | WEST |
|-------|-------|-------|-------|
| N | S | E | WEST |
|-------|-------|-------|-------|
| N | S | E | W |
|-------|-------|-------|-------|


This is just a partial example; I was trying to manually jam this out and kept getting screwed up.

Any help would be much appreciated.

Thanks y'all.
 

Fluff

MrExcel MVP, Moderator
Joined
Jun 12, 2014
Messages
79,870
Office Version
  1. 365
Platform
  1. Windows
How about
VBA Code:
Sub DrDemento()
   Dim r As Long, c As Long
   Dim a As Variant, b As Variant, Ary As Variant
   
   Ary = Array(Array("North", "East", "South", "West"), Array("N", "E", "S", "W"))
   r = 2
   c = 4
   a = Evaluate("if({1},mid(base(transpose(row(1:" & r ^ c & ")-1)," & r & "," & c & "),row(1:" & c & "),1)+1)")
   b = Application.Index(Ary, Application.Transpose(a), Array(1, 2, 3, 4))
   Range("A5").Resize(UBound(b), UBound(b, 2)).Value = b
End Sub
 
Solution

Excel Facts

Which came first: VisiCalc or Lotus 1-2-3?
Dan Bricklin and Bob Frankston debuted VisiCalc in 1979 as a Visible Calculator. Lotus 1-2-3 debuted in the early 1980's, from Mitch Kapor.

Fluff

MrExcel MVP, Moderator
Joined
Jun 12, 2014
Messages
79,870
Office Version
  1. 365
Platform
  1. Windows
Glad we could help & thanks for the feedback.
 

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