Dear Monks,
For getting only unique combinations of elements out of a AoA: 
#!/usr/bin/perl -w
use strict;
use Algorithm::Loops qw(NestedLoops);


my @symbol = (
   [ 'a', 'b', 'c' ],
   [ 'a', 'b', 'c'  ],
   [ 'a', 'b', 'c'  ],
   [ 'c', 'd', 'e'  ],
);

my @all;
my $iter = NestedLoops(\@symbol);
my @list;
while (@list = $iter->()) {
    my @sortedList = sort @list;
    my $listString = join ('',@sortedList);
    push @all, $listString;
    }

my @uniq = keys %{{ map { $_ => 1 } @all }};
my @sortedUniq = sort (@uniq);

foreach my $sortedUniq (@sortedUniq) {
    print $sortedUniq,"\n";
    }

[download]
This is not very realistic for large AoA's, it is not efficient, and there is certainly a linear solution. A solution could look like (?) : 
for my $symbolRow (0..$#symbol) {
    for my $symbolCol (0..$#{$matrix[$symbolRow]}) {
    
# If, for elements 1..$#{$matrix[$symbolRow]}
#the element (symbol) already exists in a preceeding line
#remove from current line.
# Then proceed with nested loops.

[download]
Could it be a good option to add to nestedLoops ?
Thanks for comments & hints, very best regards.

In reply to Efficient Unique Nested Combinations by FFRANK

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