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I need help with this problem
Home Ivy Tech Comm x D-MATH x (D Take a Test Ray Kim x c Can Anybody Help Ich x MyMathLab C 9H1 H https//www.math Sol ship Print Fvents Kelley ralend Fvent MATH135-84 Spring 2017 Quiz: MIDTERM QUIZ 2 of 33 (0 complete This Question: 1 pt Find the indicated number of elements by referring to the table of enrolments in a finite mathematics class. Let the universal set Freshman Sophomo U bc the set of all 114 students in the class, A the sot of students from the College of Arts & Sicnocs, B the sot of students from Arts & Sciences the College at Business, F the set ot treshman, end S the set ot sophomores. Find the number ot students in S. Business n (S Enter your answer n the answer box. a Search Windows In For Yoo Ray Kim 5/12/17 11:17 AM Submit QUIZ This Quiz 33 pts possible 2017-U5-12Explanation / Answer
Total number of students in the class = 114
Total number of courses taken by freshmen = 18 + 57 = 75
Total number of courses taken by sophomores = 11 + 78 = 89
Total number of student-courses = 75 + 89 = 164
Therefore total number of students with two courses = (164-114)/2 = 50/2 = 25 (Each two course student is counted twice)
=> Total number of sophomores = 89 - 25 = 64
=> n(S) = 64