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In advanced English morphosyntax and determiner sub-classification, the selection and distribution of articles (a, an, the) and determiners depend heavily on countability, pre-determiner hierarchies, idiomatic collocations, and generic reference. Consider the following four advanced propositions regarding articles and determiners:I. In coordinate noun phrases where two distinct titles or roles refer to a single shared person or entity, the definite article must appear only before the first noun (e.g., 'The director and producer has arrived'), whereas repeating the article before the second noun denotes two separate individuals.II. Pre-determiners such as 'all', 'both', 'such', and 'what' must invariably follow central determiners (such as articles, possessives, and demonstratives) within the noun phrase structural hierarchy.III. When a singular countable noun is used in a generic sense to represent an entire biological species or class, standard formal English permits either the definite article (e.g., 'The blue whale is endangered') or the plural noun with the zero article (e.g., 'Blue whales are endangered').IV. The indefinite article 'a' or 'an' is strictly prohibited before nouns denoting unique professional titles, sole offices, or exclusive ranks even when they function predicatively or as object complements (e.g., 'They elected him chairman', without 'a').Identify the option that correctly evaluates the grammatical, syntactic, and semantic validity of propositions I, II, III, and IV according to standard English grammar and Wikipedia Reference.

Detailed Explanation

Let us evaluate each proposition in detail based on standard English grammar and Wikipedia Reference:

Proposition I is correct: In English syntax, when two singular nouns joined by 'and' refer to the same person or thing, the article is used only once before the first noun ('The director and producer...'), taking a singular verb. If repeated before both nouns, it indicates two distinct individuals.

Proposition II is incorrect: Pre-determiners (such as 'all', 'both', 'half', 'such') precede central determiners (articles, possessives, demonstratives) within the noun phrase structure, not follow them (e.g., *'all the books'*, not *'the all books'*).

Proposition III is correct: Generic reference for singular countable nouns can be achieved using the definite article ('The tiger is fierce'), alongside the standard plural noun with zero article ('Tigers are fierce').

Proposition IV is correct: Unique unique roles, titles, or offices functioning as object complements or predicative nominatives (after verbs like 'elect', 'appoint', 'make') typically take the zero article (e.g., 'They elected him captain', not 'a captain').

Thus, only propositions I, III, and IV are correct.
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