Final answer:
DuBose Heyward gave permission to the Gershwin brothers to adapt his novel into a play in 1934, but the correct answer to the question about when Gabriel García Márquez started writing 'One Hundred Years of Solitude' is 1965.
Step-by-step explanation:
The permission that Heyward gave to the Gershwin brothers to make a play was granted in the year 1934.
However, the main question has been mistaken in understanding the context, as it refers to DuBose Heyward giving permission to the Gershwin brothers—George and Ira Gershwin—to adapt his 1925 novel "Porgy" into what would become the famous American folk opera "Porgy and Bess." The correct answer to the question regarding Gabriel García Márquez and the writing of his masterpiece, One Hundred Years of Solitude, is 1965 (Option B). This year marks the beginning of Marquez's work on one of the most significant works of magical realism, which would eventually be published in 1967. The question seems to be a case of combined unrelated pieces of historical literature trivia, one associated with American theatre and the other with Latin American literature.
The work on the novel One Hundred Years of Solitude spanned over 18 months from 1965 to its publication in 1967. It is Gabriel García Márquez's most acclaimed work which catapulted the Colombian author to international fame and led to his Nobel Prize in Literature in 1982. This novel has had a tremendous impact on both literature and culture, influencing a broad scope of writers and artists alike and is frequently cited in a variety of academic and artistic contexts.