Question 1 Each student in a 40-person Finite Mathematics class was asked which homework system(s) they would be satisfied with: handwritten, online, or no homework at all. Not all students responded,...

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Extracted text: Question 1 Each student in a 40-person Finite Mathematics class was asked which homework system(s) they would be satisfied with: handwritten, online, or no homework at all. Not all students responded, but of the 30 students who did, 4 of them were okay with all three systems, 5 of them would only be satisfied with online homework, 7 of them would only be satisfied with handwritten, and none of them said they would only be satisfied with no homework. Exactly 7 students who responded would be satisfied with online homework and no homework, while 13 students said they were okay with online homework and handwritten homework. (a) Create a Venn diagram representing all the students in the course. Students who were satisfied with handwritten homework should be included in the set H, while those satisfied with online homework is in set O, and those satisfied with no homework in set N. Using the information above, determine the number of elements in each basic region of the Venn diagram. Show all work. (b) Use set theoretic notation to describe the set of all students that were only satisfied with online COP homework. From your Venn diagram, what is the size of that set? (c) Use set theoretic notation to describe the set of all students that gave a response, but were not satisfied with no homework at all. From your Venn diagram, what is the size of that set? (d) Describe in words the set (HUN)NO. From your Venn diagram, what is the size of that set? (e) Describe in words the set HUNUO. From your Venn diagram, what is the size of that set? COPY OPY Y DO QUESTION 2 ON NEXT PAGE 1 ONOT NO OT CO