Step 1: Understanding the Concept:
The question requires arranging four of the six major Tabla Gharanas in the order of their establishment. This is a question about the history and evolution of Tabla playing.
Step 2: Detailed Explanation:
The chronological development of these gharanas is generally accepted as follows:
1. (C) Lucknow Gharana: Considered the oldest of the 'Purbi Baaj' gharanas, founded in the late 18th century by Miyan Bakshu Khan and Modhu Khan.
2. (B) Farukhabad Gharana: This gharana was founded by Haji Vilayat Ali Khan, who was a disciple of Miyan Bakshu Khan of Lucknow. Thus, it came after the Lucknow Gharana.
3. (D) Punjab Gharana: This gharana developed independently but its codification as a major gharana is generally placed in the early 19th century under Miyan Qader Baksh II.
4. (A) Banaras Gharana: This gharana was founded by Pandit Ram Sahai in the early 19th century. He was a disciple of Modhu Khan of Lucknow. While its origins are contemporary with Farukhabad and Punjab, in many chronologies, it is placed after them.
Based on the options, the sequence (C) Lucknow $\rightarrow$ (B) Farukhabad $\rightarrow$ (D) Punjab $\rightarrow$ (A) Banaras is a plausible and historically sound ordering.
Step 3: Final Answer:
The correct chronological order is Lucknow, Farukhabad, Punjab, and Banaras.