In advanced English syntax and determinative subcategorization, noun phrase expansion involves intricate distributional rules governing pre-determiners, central determiners, post-determiners, and article selection. Consider the following four advanced propositions regarding articles and determiners:I. When a singular countable noun is modified by an adjective preceded by intensifying degree words such as *'so'*, *'as'*, *'too'*, or *'how'*, the indefinite article shifts its canonical position from before the adjective to an intermediate position directly between the adjective and the noun head (e.g., *'It is so difficult a problem'* or *'Too heavy a burden to carry'*, rather than *'a so difficult problem'*).II. Central determiners such as articles (*'a'*, *'an'*, *'the'*), demonstratives (*'this'*, *'that'*, *'these'*, *'those'*), and possessives (*'my'*, *'your'*, *'their'*) can freely co-occur and stack directly in front of the same noun head within a single noun phrase without any mutual exclusivity constraints (e.g., *'my the book'* or *'this a car'*).III. Generic reference in English permits both the definite article with a singular countable noun (e.g., *'The whale is a mammal'*) and the zero article with a plural countable noun (e.g., *'Whales are mammals'*) to denote an entire species or class, whereas proper nouns and mass nouns follow distinct article distribution rules when used generically.IV. Post-determiners, including cardinal numbers, ordinal numbers, and quantifiers like *'many'*, *'few'*, and *'several'*, must always precede central determiners and articles in linear word order (e.g., *'many the students'* or *'three the books'* are fully grammatical constructions in standard English).Identify the option that correctly evaluates the grammatical, syntactic, and distributional validity of propositions I, II, III, and IV according to standard English grammar and Determiner theory.