In advanced English morphosyntax and determiner sub-classification, the selection, omission, and syntactic distribution of articles (a, an, the) and determiners involve complex rules concerning uniqueness, coordination, generic reference, and countability constraints. Consider the following four advanced propositions:I. When two or more adjectives modify a single plural noun to describe distinct, separate entities or categories, the definite article must be repeated before each adjective (e.g., 'The linguistic and the pedagogical approaches are both effective'), whereas omitting the second article indicates a single combined framework.II. In expressions indicating frequency, rate, speed, or unit price, the indefinite article 'a' or 'an' is standardly employed with singular countable nouns (e.g., 'sixty miles an hour', 'twice a week'), functioning in this context with a distributive meaning equivalent to 'each' or 'per'.III. The zero article is mandatory before names of academic subjects, academic disciplines, sports, meals, and games when they are used in a general, unquantified sense (e.g., 'She is studying linguistics', 'We played tennis after lunch'), unless a modifying phrase or clause restricts their reference.IV. Mass or uncountable nouns can never under any circumstances take the definite article 'the', because their semantic property of being unbounded completely precludes any possibility of specific or definite reference in discourse.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 determiner theory.