SOLUTION: The teacher of a mathematics class has written up the final exam, but wants
the questions to be random for each student. There are 28 students in the class, and
the test has 1
Algebra.Com
Question 1041991: The teacher of a mathematics class has written up the final exam, but wants
the questions to be random for each student. There are 28 students in the class, and
the test has 100 questions. Each question has four possible answers.
Use the discussion board to explain your ideas on the following questions and
collaborate with other students, your teacher, and the TA's to explore these
issues. This is a graded assignment.
a. After reading carefully reading the scenario, determine the number of different
final exams possible. Besides your method, are there other methods to determine
the number of outcomes?
b. For this scenario, which will work better to determine the order of the questions,
permutation or combination? Justify your answer.
c. If a student doesn’t show up to take the test, how does that affect the number of
outcomes?
d. Suppose the teacher doesn’t end up randomizing the questions on the exam. Does
this affect the number of outcomes?
e. If each question on the test had the same answer (let’s say C), what’s the probability
that students taking the test will get all the questions right? Justify your answer.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
What does it mean when you say "the questions to be random for each student"? Do you mean that the order of the questions is to be randomized, or that the order of the answers in each question be random, or both?
If the former, there are 100! different tests. If the latter, there are 
different tests. If both, it is the product of these two very large numbers.
John
My calculator said it, I believe it, that settles it
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