Can I produce a row in Excel which is random permutation of another row?

Place the values in A1 through G1

In A2 through G2 enter:

=RAND()

In A3 through G3 enter:

=INDEX($A$1:$G$1,MATCH(LARGE($A$2:$G$2,COLUMN()),$A$2:$G$2,0))

Each time the worksheet is re-calculated, a new permutation will be generated.

I use a method similar to what Gary's Student posted, but I use RANK in my formula instead. I think this simplifies the formula and makes it a little easier to understand.

For sample data in A1:G1:

dog    mouse    rhino    ape    cat    fish    rat

Fill the formula =RAND() across A2:G2.

Then fill the formula below across A3:G3.

=INDEX($A$1:$G$1,RANK(A2,$A2:$G2))

This is good for a one-off or a small number of rows.

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For a more robust solution, I would use VBA. The macro below will allow you to select the values you want to shuffle and specify the number of permutations you'd like to create. The permutations will be printed to a new sheet, where you can copy and paste them wherever you like.

Sub nPerm()
Dim ValuesToPermute As Range, arrIn() As Variant, arrTmp() As Variant
Dim pcount As Long
Dim arrOut() As Variant, shtOut As Worksheet

'Get values to permute from user input
Set ValuesToPermute = Application.InputBox("Select values to permute. (Input must be in a single row.)", Type:=8)

'Get number of permutations wanted from user input
pcount = Application.InputBox("How many permutations would you like?", Type:=1)

'Set up array to hold input
arrIn = ValuesToPermute.Value

'Set up array to hold output
ReDim arrOut(1 To pcount, 1 To UBound(arrIn, 2)) As Variant

'Populate output array with n randomly permuted sets
For i = 1 To pcount
    arrTmp = ShuffleArray(arrIn)
    For k = 1 To UBound(arrTmp, 2)
        arrOut(i, k) = arrTmp(1, k)
    Next k
Next i

'Create new sheet and print output there
Set shtOut = Worksheets.Add
shtOut.Name = "nPerm Output"
shtOut.Range("a1").Resize(UBound(arrOut, 1), UBound(arrOut, 2)).Value = arrOut
End Sub


'Modified code from Chip Pearson
'Source: www.cpearson.com/excel/ShuffleArray.aspx Copyright 2018, Charles H. Pearson
Function ShuffleArray(InArray() As Variant) As Variant()
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
' ShuffleArray
' This function returns the values of InArray in random order. The original
' InArray is not modified.
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
    Dim N As Long
    Dim Temp As Variant
    Dim J As Long
    Dim Arr() As Variant


    Randomize
    L = UBound(InArray, 2) - LBound(InArray, 2) + 1
    ReDim Arr(1 To 1, LBound(InArray, 2) To UBound(InArray, 2))
    For N = LBound(InArray, 2) To UBound(InArray, 2)
        Arr(1, N) = InArray(1, N)
    Next N
    For N = LBound(InArray, 2) To UBound(InArray, 2)
        J = CLng(((UBound(InArray, 2) - N) * Rnd) + N)
        Temp = Arr(1, N)
        Arr(1, N) = Arr(1, J)
        Arr(1, J) = Temp
    Next N
    ShuffleArray = Arr
End Function

ShuffleArray function is not my work.
Source: www.cpearson.com/excel/ShuffleArray.aspx Copyright 2018, Charles H. Pearson