text: which 4 presidents have their faces carved on mount rushmore? presidents george washington (1), thomas jefferson (3), abraham lincoln (16), and theodore roosevelt (26)       the presidents were selected on the basis of what each symbolized.        george washington represents the struggle for independence,       thomas jefferson the idea of government by the people.       abraham lincoln for his ideas on equality and the permanent union of the states      theodore roosevelt for the 20th century role of the united states in world affairs.