Step 1: Identify Amartya Sen's Nobel Prize recognition.
Professor Amartya Sen is an Indian economist known for his work on welfare economics and social choice theory.
He received the Nobel Memorial Prize in Economic Sciences in 1998.
The other fields listed, such as Literature, Sports, and Music, are unrelated to Amartya Sen's Nobel Prize.
Step 2: Hence, the correct answer is (3) Economics, as Amartya Sen received the Nobel Prize in this field.