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|)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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