After grading the take-home assignments, Mr. Montes randomly selects 5 take-home
assignments to analyze. He considers the student's responses to the three multiple choice
questions, which are as shown.
Student 1:
(C, A, C)
a. Set 1n Set 2
Student 2:
{C, B, B}
b. Set 2 U Set 3
Student 3:
{C, B, C)
7. The correct responses for the multiple choice questions are, in order, C, B, and A. If Set 1
represents the subset of these students who answered C for number 1, Set 2 represents the subset
of these students who answered B for number 2, and Set 3 represents the subset of students who
answered A for number 3, find each of the following. Explain what each notation means in
context of this scenario.
c. The complement of Set 1
Student 4:
{C, B, A}
Student 5:
{C, A, A}
8. Amisha was too tired to work on the take home assignment Mr. Montes gave her, so she
randomly selected answers without reading any of the questions. Suppose that you wanted to
find the odds that Amisha answered at least 3 of the 5 questions correctly. Do you think you
would use a permutation or a combination? Why?