In advanced English syntax and determiner usage, the choice between the definite article, indefinite article, and zero article with institutional nouns, abstract concepts, and coordinated modifiers is governed by rigorous semantic constraints. Consider the following four propositions regarding articles and determiners:I. When institutional locations such as 'school', 'church', 'prison', or 'hospital' are visited or utilized for their primary, functional purpose, the zero article is employed (e.g., *'He was sent to prison for tax evasion'*), whereas the definite article 'the' is required when referring to the physical building or architectural structure as a specific landmark.II. When two or more singular, countable nouns representing distinct roles or offices held concurrently by a single individual are joined by a coordinating conjunction, the definite article must be repeated before each noun to indicate separate referents (e.g., *'The president and the treasurer was present at the conference'*).III. The indefinite article 'a/an' can be combined with plural-looking measurement phrases or collective quantifying expressions that function syntactically as a singular head noun aggregate (e.g., *'a great many students'* or *'a few weeks'*).IV. Uncountable abstract nouns and mass nouns take the zero article when used in a generic or universal sense (e.g., *'Happiness is essential for human well-being'*), but require the definite article 'the' when their reference is restricted or modified by a defining relative clause or prepositional phrase (e.g., *'The happiness that she felt upon graduation was profound'*).Identify the option that correctly evaluates the grammatical validity of propositions I, II, III, and IV.