In a survey of 263 university students, it was found that 122 of them had taken a foreign language course, 115 of them had taken a science course, and 117 had taken an English course. 24 had taken a foreign language course and an English course, 42 had taken a science course and an English course, and 72 had taken a foreign language course and a science course. 14 took all three courses. You should show your work for this problem. 1. How many students did not take any of the three courses? 2. How many students took a foreign language course and a science course, but not an English course? 3. How many students took a foreign language course or a science course?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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• Question 6
In a survey of 263 university students, it was found that 122 of them had taken a foreign language course,
115 of them had taken a science course, and 117 had taken an English course. 24 had taken a foreign
language course and an English course, 42 had taken a science course and an English course, and 72 had
taken a foreign language course and a science course. 14 took all three courses. You should show your work
for this problem.
1. How many students did not take any of the three courses?
2. How many students took a foreign language course and a science course, but not an English course?
3. How many students took a foreign language course or a science course?
> Next Question
Transcribed Image Text:• Question 6 In a survey of 263 university students, it was found that 122 of them had taken a foreign language course, 115 of them had taken a science course, and 117 had taken an English course. 24 had taken a foreign language course and an English course, 42 had taken a science course and an English course, and 72 had taken a foreign language course and a science course. 14 took all three courses. You should show your work for this problem. 1. How many students did not take any of the three courses? 2. How many students took a foreign language course and a science course, but not an English course? 3. How many students took a foreign language course or a science course? > Next Question
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