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The ex-officio Chairman of the Planning Commission can only be the Prime Minister. The term "ex-officio" means that the person holds the position by virtue of their office or position in the government. In this case, it means that the Chairman of the Planning Commission is automatically the Prime Minister.
Option 1, Minister for Planning and Development, is incorrect because this role does not automatically make someone the Chairman of the Planning Commission.
Option 2, Home Minister, is incorrect because this role is also not directly related to the Planning Commission.
Option 4, Finance Minister, is incorrect because although the Finance Minister may have influence on the economic policies of the Planning Commission, they are not automatically the Chairman.
Therefore, the correct answer is option 3, the Prime Minister.