In the world of Harry Potter, a pack of Bertie Bott’s Every Flavour Beans contains 30 beans, each of which is independently chosen from a selection of 10 000 different flavors. (Ignore the Jelly Belly knockoff found in the real world, which only includes 20 flavors, and is not magic.) In how many different ways can a pack of Bertie Bott’s Every Flavour Beans be filled? (Two packs are filled in the same way if you look inside and see the same flavors, and the same number of jelly beans of each flavor.) g