Hi,

disclaimer: bogoperm, but it does fit your description of the problem!

#!/usr/bin/perl

use strict;
use warnings;

#############
# bogoperm! #
#############

my @array = qw(a b c);
my $length = @array;

# faculty
my $fac = 1;
foreach my $f (1..$length) {
    $fac *= $f;
}

# my results
my %hash = ();

# internals
my $check; # if equals control then we found a number
my $control; # has to contain something like 123...
my $index; # the number itself, it's an index!
my $count = 0; # 'till this equals $fac
OUTER: do {
  INNER: while (1) {
      do {
      $check = 0;
      $control = 0;
      $index = 0;
      foreach my $i (1..$length) {
          my $number = 1+int(rand()*$length);
          $index += $number * 10**($i-1);
          $check += 10**$number;
          $control += 10**$i;
      }
      $check /= 10; $control /= 10;
      } while ($check != $control);
      last INNER if defined $hash{$index};
      $hash{$index}++;
      $count++;
  }
} while $count != $fac;

# print out the results
foreach my $i (keys %hash) {
    my $j;
    do {
    $j = $i % 10; 
    print $array[$j-1];
    $i = ($i - $j) / 10;
    } while ($i > 0);
    print "\n";
}
[download]

output:

bash-3.00$ ./perm.pl
cba
acb
bac
cab
abc
bca
[download]

I'll leave it as an exercise to put the output in real lists.

Well, at least I used strict and warnings :o