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Professor Tannen would like to distribute shirts to his n 3 students to celebrate their work so far in the semester. The professor has unlimited

Professor Tannen would like to distribute shirts to his n 3 students to celebrate their work so far in the semester. The professor has unlimited supply of red shirts, blue shirts, and green shirts. He would like to distribute the shirts such that each student receives exactly one shirt and at least one of each color is distributed. To d.o this, he defines a function f that maps each student x to the shirt color they will receive. How many such functions exist?

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