Understanding the Question:
The question requires us to determine the number of centrally governed regions in the western and eastern sectors of India.

Western Region (Paschimi Tat)
- The western region of India, also known as Paschimi Tat, comprises the states of Gujarat, Maharashtra, Rajasthan, and Goa.
- These states are centrally governed and are considered as part of the central jurisdiction.

Eastern Region (Purvi Tat)
- The eastern region of India, also known as Purvi Tat, includes states like West Bengal, Bihar, Jharkhand, Odisha, and the northeastern states.
- Similar to the western region, these states are centrally governed and fall under the central jurisdiction.

Determining the Number of Centrally Governed Regions:
- Combining the centrally governed regions in the western and eastern sectors, we find that there are a total of 9 states under central jurisdiction.
- The western region has 4 states (Gujarat, Maharashtra, Rajasthan, Goa), and the eastern region has 5 states (West Bengal, Bihar, Jharkhand, Odisha, Northeastern states).

Conclusion:
- Therefore, the total number of centrally governed regions in the western and eastern sectors of India is 9 states.
- It is important to note that these regions play a crucial role in the overall governance and administration of the country.