The correct answer is option 3 - Abul Fazal. Akbamama was not written by Akbar, as mentioned in option 1. Akbamama is a historical account of the achievements and reign of Emperor Akbar. It is a part of a larger work called Ain-e-Akbari, which was written by Abul Fazal, a prominent historian and advisor in Akbar`s court. Birbal, mentioned in option 2, was one of the Navaratnas (nine gems) in Akbar`s court, known for his wit and intelligence, but he is not associated with the writing of Akbamama. Bhagwan Das, mentioned in option 4, was a Rajput noble and poet in Akbar`s court, but he is also not credited with the authorship of Akbamama.