That's a cross product, not listing permutations or combinations.

It's trivial with Algorithm::Loops's NestedLoops.

use Algorithm::Loops qw( NestedLoops );

my @array1 = qw( A B );
my @array2 = qw( 1 2 );
my @array3 = qw( C D E );

my $iter = NestedLoops([
   \@array1,
   \@array2,
   \@array3,
]);
while (my @row = $iter->()) {
   print("@row\n");
}
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