India, like Italy and China, has no single dominant cuisine: Indian food comprises many different styles of cooking, with each a product of their regional influences, from the fiery vegetarian dishes of the south to the Portuguese-influenced Goan cooking of the west, to the more familiar Mogul food of the north.
with each a product of their
with each as a product of its
each products of their
each a product of
each products of
Ron:The pronoun problem is worse than you might think. E.g., even if the problem said "... each a product of its regional influences", it would still be wrong.
"Regional influences" are vague forces—basically, like the culinary culture of an entire geographical area. These forces don't emanate from, or belong to, any particular person or thing, so it's impossible for any construction of the form "its/their/____'s influences" to make sense here.
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