use Data::Dumper; my $letters = [qw(a b c)]; my $numbers = [1..3]; my $words = [qw(you me)]; my $result = cartesian($letters, $numbers, $words); print Dumper( $result ); sub cartesian { my ($set, @sets) = @_; my @expanded; # base case if ( !@sets ) { foreach ( @{$set} ){ push @expanded, [$_]; } } # recursive call else { my @product = @{ cartesian(@sets) }; foreach my $element ( @{$set} ) { foreach my $product ( @product ) { push @expanded, [ $element, @{$product} ]; } } } return \@expanded; }