The correct answer is option 4: I, II, and III. Theodore Beck was indeed the principal of Mohammadan Anglo-Oriental College in Aligarh, this association is accurate. The Ilbert Bill, which proposed that Indian judges should be allowed to try British subjects, was introduced during Lord Ripon`s viceroyalty, so this pair is also accurate. Pherozesha Mehta was a founder and president of the Indian National Congress, which verifies option III. The incorrect pair is Badruddin Tyabji and the Muslim League. Although Badruddin Tyabji was a prominent Indian lawyer and a leader in the Indian independence movement, he was not associated with the Muslim League – instead, he served as the president of the Indian National Congress in 1887. Therefore option IV is incorrect.