A survey of 100 students at New England College showed the following: 45 take English. 47 take history. 39 take language. 13 take English and history. 15 take English and language. 18 take history and language. 7 take all three. How many students do the following? (See Example 6.) (a) Take history but neither of the other two? X students (b) Take English and history but not language? X students (c) Take none of the three? X students
A survey of 100 students at New England College showed the following: 45 take English. 47 take history. 39 take language. 13 take English and history. 15 take English and language. 18 take history and language. 7 take all three. How many students do the following? (See Example 6.) (a) Take history but neither of the other two? X students (b) Take English and history but not language? X students (c) Take none of the three? X students
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A survey of 100 students at New England College showed the following:
45 take English.
47 take history.
39 take language.
13 take English and history.
15 take English and language.
18 take history and language.
7 take all three.
How many students do the following? (See Example 6.)
(a) Take history but neither of the other two?
X students
(b) Take English and history but not language?
X students
(c) Take none of the three?
X students
(d) Take just one of the three?
X students
(e) Take exactly two of the three?
X students
(f) Do not take language?
X students
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