Science:Math Exam Resources/Courses/MATH110/December 2013/Question Section 001 10 (a)
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Question Section 001 10 (a) 

How many ways can graduate students be assigned to teach the sections of MATH110 next year if each graduate student can be assigned to at most one section? For this question, a numerical answer is required as a final answer. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Here it matters which instructor teaches which course. How many choice of instructors are there for the first course? For the second course? Do you need to add or multiply these numbers? 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We have slots to fill and people to fill them. So that means, we have choices for the first slot, for the second, for the third and for the fourth. Since the number of choices for each slot does not dependent on the choice of the previous spots we need to multiply these numbers. So the total number of ways to fill the slots is . There are ways to fill the slots. 