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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,

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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: Student 2: Student 3: Student 4: Student 5: {C, A, C} {C, B, B} {C, B, C} {C, B, A} {C, A, A} 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. a. Set 1 n Set 2 b. Set 2 U Set 3 c. The complement of Set 1 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

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