In advanced English syntax and determiner classification, the distribution of articles, quantifiers, and zero-article constructions is governed by intricate semantic parameters, countability constraints, and modification patterns. Consider the following four advanced propositions regarding article usage and determiner syntax:I. When a singular countable noun is modified by a restrictive relative clause or an identifying post-modifier denoting a specific, contextually unique entity known to both interlocutors, the definite article 'the' is obligatorily required, even if the noun was previously unmentioned in the discourse (e.g., *'She is the scientist who formulated the breakthrough hypothesis'*).II. In coordinate noun phrases representing contrasting, parallel, or complementary abstract domains, the definite article can be omitted before the second noun to form a fixed idiomatic pair, but when the nouns refer to distinct, countable physical entities, the article must be repeated before each noun to avoid ambiguity (e.g., *'The secretary and the treasurer have arrived' versus 'The secretary and treasurer is a single administrator'*).III. Quantifiers such as *'few'* and *'little'* function strictly as positive determiners indicating an adequate or sufficient quantity when used without any modifying elements, whereas their counterparts *'a few'* and *'a little'* function as negative determiners conveying an exclusionary sense of scarcity or insufficiency.IV. When a plural countable noun or an uncountable noun is used in a generic statement to make a sweeping, universal generalization about an entire class or substance, standard English grammar strongly prefers the zero article rather than the definite article (e.g., *'Computers have revolutionized modern education'*, not *'The computers have revolutionized modern education'*).Identify the option that correctly evaluates the grammatical and syntactic validity of propositions I, II, III, and IV according to standard English grammar.