Final answer:
The sentence that is punctuated correctly is: "This industry services numerous \"customers;\" these clients include: politicians, athletes, & actors."
Step-by-step explanation:
The sentence that is punctuated correctly is: This industry services numerous "customers;" these clients include: politicians, athletes, & actors.
The correct punctuation in this sentence includes using a semicolon (;) before the closing quotation marks (" "), and using a colon (:) to introduce the list of clients.
The incorrect options either have incorrect punctuation or incorrect placement of colons and semicolons within the sentence.
Learn more about Punctuation in English sentences