Final answer:
The correctly written sentence using proper and common nouns is 'c. Asha indicated on her résumé that she was proficient with PowerPoint, Prezi, and Excel', as it correctly capitalizes the proper nouns and not the common nouns.
Step-by-step explanation:
The sentence that expresses both proper and common nouns correctly is c. Asha indicated on her résumé that she was proficient with PowerPoint, Prezi, and Excel. Proper nouns refer specifically to names of people, places, and brands and should be capitalized, as done correctly with PowerPoint, Prezi, and Excel in the provided sentence. Common nouns, on the other hand, refer to general items or concepts and are not capitalized unless they are the first word in a sentence or part of a title. In sentence c, both proper and common noun usage follows these rules, unlike the other options provided.