The Pala Dynasty, known for its patronage of Buddhism, had influence over:

Western Arunachal Pradesh
Eastern Arunachal Pradesh
Northern Arunachal Pradesh
The entire state

The correct answer is: d) The entire state.

The Pala Empire was an Indian empire that ruled over much of the Indian subcontinent from the 8th to the 12th centuries. The Palas were patrons of Buddhism and their rule saw a revival of Buddhist art and architecture. The Palas were also known for their military prowess and their empire extended from Bengal in the east to Bihar in the west.

Arunachal Pradesh is a state in northeastern India. It is the largest state in India by area, but it has the lowest population density. Arunachal Pradesh is a mountainous state and is home to a number of different ethnic groups. The state is known for its natural beauty and its diverse wildlife.

The Palas had influence over the entire state of Arunachal Pradesh. The Palas ruled over the region for several centuries and their influence can still be seen in the architecture and culture of the state. The Palas were patrons of Buddhism and their rule saw a revival of Buddhist art and architecture in Arunachal Pradesh. The Palas were also known for their military prowess and their empire extended from Bengal in the east to Bihar in the west.

The Palas were a powerful dynasty that ruled over much of the Indian subcontinent for several centuries. Their influence can still be seen in the architecture and culture of many parts of India, including Arunachal Pradesh.