Only a slight modification needed. 
#!/usr/bin/perl
use warnings;
use strict;
use feature qw{ say };
use List::Util qw{ shuffle };

my @words = qw( this is a string with a word );
my @order = 0 .. $#words;

my %ord;
push @{ $ord{ $words[$_] } }, $_ for 0 .. $#words;  # <-- Here...

@words = shuffle(@words);
@order = @ord{@words};

print do { local $" = "\t"; "@words\n" };
say join "\t", map "[@$_]", @order;

@order = map shift @$_, @order;                     # <-- and here.
say join ' ',
    map $words[$_],
    sort { $order[$a] <=> $order[$b] }
    @order;

[download]
($q=q:Sq=~/;[c](.)(.)/;chr(-||-|5+lengthSq)`"S|oS2"`map{chr |+ord
}map{substrSq`S_+|`|}3E|-|`7**2-3:)=~y+S|`+$1,++print+eval$q,q,a,

[download]

In reply to Re^6: keep track of array indexes by choroba
in thread keep track of array indexes by Anonymous Monk

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.