[求助] prep-148 (还没有该题的讨论贴)

148. 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.

A. with each a product of their

B. with each as a product of its

C. each products of their

D. each a product of

E. each products of

A: their指代styles错；with each 的with多余

B: each as的as多余

C: each 后面接单数名词

D: correct

E: 同上

请教：influences在句子中是做名词吗？但是前面是a product of， influences的单复数形式有所谓吗？谢谢

influences  在句中做名词.  没有影响.