A survey of 100 students at New England College showed the following: 46 take English. 47 take history. 38 take language. 13 take English and history. 16 take English and language. 18 take history and language. 8 take all three. How many students do the following? (See Example 6.) (a) Take history but neither of the other two? students (b) Take English and history but not language? students (c) Take none of the three? students (d) Take just one of the three? students (e) Take exactly two of the three? students (f) Do not take language? students Additional Materials MOBook

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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A survey of 100 students at New England College showed the following:
46 take English.
47 take history.
38 take language.
13 take English and history.
16 take English and language.
18 take history and language.
8 take all three.
How many students do the following? (See Example 6.)
(a) Take history but neither of the other two?
students
(b) Take English and history but not language?
students
(C) Take none of the three?
students
(d) Take just one of the three?
students
(e) Take exactly two of the three?
students
(f) Do not take language?
students
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OeBook
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Transcribed Image Text:A survey of 100 students at New England College showed the following: 46 take English. 47 take history. 38 take language. 13 take English and history. 16 take English and language. 18 take history and language. 8 take all three. How many students do the following? (See Example 6.) (a) Take history but neither of the other two? students (b) Take English and history but not language? students (C) Take none of the three? students (d) Take just one of the three? students (e) Take exactly two of the three? students (f) Do not take language? students Additional Materials OeBook Submit Answer
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