In the Russian political system, the Prime Minister is appointed by the President, with the consent of the State Duma, hence option 2 is correct.

Option 1 suggests that the State Duma, which is the lower chamber of the Federal Assembly, appoints the Prime Minister, which is incorrect. While the State Duma does play a part, its role is to give consent to the President`s choice for Prime Minister, not to appoint the Prime Minister alone.

Option 3 proposes that the President appoints the Prime Minister with the consent of the Federal Council, which is incorrect. The Federal Council, the upper chamber of the Federal Assembly, does not have a direct role in the appointment of the Prime Minister.

Option 4 suggests that the Federal Council appoints the Prime Minister, which is also incorrect. The Federal Council does not make this appointment; it is the President’s responsibility to select and appoint the Prime Minister, subject to approval by the State Duma.