Under Article 356 of the Indian Constitution, the Governor shall not be bound by the advice of the Chief Minister or Council of Ministers. This provision is significant as it grants the Governor discretionary powers in certain situations where the state government is not functioning according to the provisions of the Constitution.

Explanation:

Governor's Discretionary Powers:
- Article 356 deals with the imposition of President's Rule in a state where the constitutional machinery has failed.
- In such circumstances, the Governor has the authority to recommend President's Rule without the advice of the Chief Minister or Council of Ministers.

Role of the Governor:
- The Governor acts as the constitutional head of the state and is responsible for ensuring that the government functions in accordance with the Constitution.
- The Governor's discretionary powers under Article 356 provide a check on the state government's actions and enable intervention in cases of constitutional breakdown.

Checks and Balances:
- By granting the Governor the authority to act independently in recommending President's Rule, the Constitution ensures that there are checks and balances in place to prevent abuse of power by the state government.
- This provision also underscores the federal structure of the Indian Constitution by delineating the roles and responsibilities of the central and state governments.

In conclusion, the provision under Article 356 that the Governor shall not be bound by the advice of the Chief Minister or Council of Ministers underscores the importance of upholding constitutional principles and ensuring effective governance in the states.