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?

Answer Posted / hari

a)english alone-12
b)adding all the elements we get 12+10+8+6+10+8+6=60 given
there are 80 students so 80-60=20
c)only history so 6
d)no political science so both english and history so 12+10+6=28

Is This Answer Correct ?    37 Yes 4 No



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