### Instruction: A professor is assigning grades to a class of 10 students. As a very kind professor, he only gives out A's, B's, and C's. How many ways can the professor assign grades to all his students?### Response: So there are 10 students and each can get one of 3 grades.
Right, so for the first student there are 3 choices.
And for the second student there are 3 choices.
And for the third student there are 3 choices.
So if we multiply the number of choices for each student we get $3*3*3*3*3*3*3*3*3*3=3^{10}=59049$.