The objective pronoun 'him' has been used as a possessive adjective [expresses ownership of a noun to person], and thus must be replaced with the possessive adjective 'his'.
Option (c) is the only option with this correction, and thus all other options are eliminated
Hence, the correct answer is option c).
Alacrity - Brisk and cheerful readiness.
Note:
Possessive Adjectives: Words like my, our, your, his, her, its, and their are known as possessive adjectives (or determiners). They come before nouns and indicate ownership of the noun. Example: "The teacher asked the students to open their drawing books."
Possessive Pronouns: The pronouns mine, yours, hers, his, ours, and theirs are known as possessive pronouns: they refer to something owned by the speaker or by someone or something previously mentioned. For example: The pen is mine.