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Use Venn diagrams to answer each of the following
questions. You must show your Venn diagram for each
problem. 1. A survey of 80 sophomores at a certain
western college showed the following:
36 take English ,32 take history
32 take political science
16 take history and English
16 take political science and history ,14 take political
science and English
6 take all three
How many students:
a) take English and neither of the
other two? ____________
b) Take none of the three
courses? ____________
c) take history, but neither of
the other two? ____________
d) take political science and history but not English?
____________
e) do not take political science?
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Answer Posted / mohammed atique
36 take ENGLISH : P+Q+S+T=36
32 take history : Q+R+T+U=32
32 take political science : S+T+U+V=32
16 take history and English : Q+T=16
16 take political science : T+U=16
14 take political science and English : S+T=14
6 take all three : T=6
Soving above equations we get the solution....
b ) Take none of the three
courses..80-(P+Q+R+S+T+U+V)=14
| Is This Answer Correct ? | 9 Yes | 18 No |
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