The Battle of Plassey was fought between the British East India Company and the Nawab of Bengal. The correct year in which this battle took place is 1757 AD, which corresponds to option 3. The battle was a significant turning point in Indian history as it marked the beginning of British colonial rule in India. The outcome of the battle resulted in the defeat of the Nawab and established British dominance in Bengal. This victory provided the British East India Company with political and economic control over large parts of India and paved the way for further British expansion in the country. Option 1 (1750 AD), option 2 (1754 AD), and option 4 (1761 AD) are incorrect as they do not correspond to the actual year of the Battle of Plassey.