Survey 130 students. 60 take CS, 80 take Mathematics, 40 take Physics, 20 take both CS and Math, 20 take both CS and Physics, 30 take both Math and Physics. How many students take courses in all three areas? Show your work in sufficient detail and make sure you use the proper notations for sets and set operations. (Hint: |AB| = |A| + |B| - |AB|)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...
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Survey 130 students. 60 take CS, 80 take Mathematics, 40 take Physics, 20 take both CS and Math, 20 take both CS and Physics, 30 take both Math and Physics. How many students take courses in all three areas? Show your work in sufficient detail and make sure you use the proper notations for sets and set operations. (Hint: |AB| = |A| + |B| - |AB|)

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