Final answer:
Both statements are correct; the Battle of Buxar allowed the British to collect taxes in Bengal, and the Treaty of Allahabad in 1765 enabled Britain's rule in Bengal.
Step-by-step explanation:
Both statements provided in the question are correct. The Battle of Buxar in 1764 was a decisive victory for the British East India Company that enabled them to play a significant role in the governance of India by agreeing with the Mughal emperor, Shah Alam II. As a consequence of their victory, they were granted the right to collect taxes in Bengal. This was formalized in the Treaty of Allahabad in 1765, which allowed the British to establish a strong foothold and rule in Bengal, thus securing their power in the region.
The Battle of Buxar, which took place in 1764, was a significant military confrontation between the British East India Company and the combined forces of the Mughal Empire and regional powers in India. The British East India Company emerged victorious and gained control over large parts of southern and eastern India, providing them a key to establish their rule in India.