The sentence has the superlatives 'largest' [adjective] and 'most' [adverb] which are joined using 'and', hence accordingly, they must be preceded by the definite article 'the' which is present only in option c). Options a) and e) are incorrect as the indefinite article 'a' cannot be used before them. Options b) and d) are incorrect as 'much' is a positive degree adverb and 'more' is a comparative degree adverb.
Hence, option (c) is correct.
Note:
· The Positive Degree is used to denote the mere existence of some quality of what we speak about. It is used when no comparison is made.
· The Comparative degree denotes a higher degree of quality than the positive and is used when two things are compared.
· The Superlative degree indicates the highest degree of quality and is used when more than two things (or sets of things) are compared.