Both statements 1 and 2 are correct. The Battle of Buxar was fought on 22nd October 1764 between the forces under the command of the British East India Company led by Hector Munro and the combined armies of Mir Qasim, Shuja-ud-Daulah and Shah Alam II.The war came to an end by the "Treaty of Allahabad" in 1765.The Treaty marks the political and constitutional involvement and the beginning of British rule in India. Based on the terms of theagreement, Alam granted Diwani rights of the eastern province ofBengal-Bihar-Orissa to the East India Company.