Set::CrossProduct does exactly that. You have to build one loop to get the strings, though.
You can also make up something with glob.
Update: here's an example with glob:
#!/usr/bin/perl
use strict;
use warnings;
my @l = (
[1, 2, 3],
[4, 5],
[6, 7]
);
my $glob = join '', map {'{'. join(',', @$_). '}'} @l;
local $\ = "\n";
print for glob $glob;
__END__
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