Explanation:

- Ministry of Finance: The Ministry of Finance is responsible for economic policies, government expenditure, and financial regulations. In India, it is responsible for minting coins and managing one rupee notes.

- RBI: The Reserve Bank of India oversees the issuance and supply of currency notes but does not deal with one rupee notes or coins.

- Ministry of External Affairs: This ministry handles India's foreign relations, and is not involved in the circulation of currency.

- State Government: State governments in India do not manage currency issuance or circulation.

Therefore, the entity that circulates all mint and one rupee notes in India is the Ministry of Finance.

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