The correct answer is option 2, 1946. The Constituent Assembly of India started functioning in the year 1946. The Constituent Assembly was formed to draft a new constitution for India after its independence. It consisted of representatives from various political parties, and its main task was to create a constitution that would reflect the aspirations and values of the Indian people. The assembly began its work on 9 December 1946, with Dr. Rajendra Prasad as its president. Over the course of several years, the Constituent Assembly debated and discussed various provisions of the constitution, eventually leading to the adoption of the Constitution of India on 26 January 1950. It is important to note that option 1 (1945) is incorrect as the Constituent Assembly did not start functioning in that year.