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?

Answers were Sorted based on User's Feedback



Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / k.eswaramoorthy

a)12
b)20
c)6
d)10
e)28

Is This Answer Correct ?    162 Yes 27 No

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / 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

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / smitha

Suppose g be the no. of students taking all three subjects.

therefore, g = 6

Suppose "e + g" students take english and history, "d + g"
students take english and political science, "f + g"
students take political science and history, thus,

e + g = 16
f + g = 16
d + g = 14

Let a, b, c be t he number of students taking only English,
History or Political science respectively.

Thus, we get the following equations:

a + e + g + d = 36
b + e + g + f = 32
c + d + g + f = 32

Solving the above 7 equations we get,

a = 12, b = 6, c = 8

Thus answers are as follows:

a) 12 (bcz a = 12)
b) 80 - (a+b+c+d+e+f+g) = 80 - 60 = 20
c) 6 (bcz b = 6)
d) 10 (bcz f = 10)
e) (a+b+c+d+e+f+g) - (c+d+f+g) = 60 - 32 = 28

Is This Answer Correct ?    24 Yes 1 No

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / abhi

thnks could u pls explain how u got these answers? no need
of diagram..explain with nos alone like(38+12+3)like that

Is This Answer Correct ?    27 Yes 17 No

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / arjun

donot take pol.sc includes those who take none.......

Is This Answer Correct ?    5 Yes 0 No

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / sawsee

hey hey!!!
This is the right answer

a. 12
b. 16
c. 6
d. 10
e. 28

Is This Answer Correct ?    14 Yes 11 No

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / sandeep

I think it's 100% correct.
I did it by draw venn diagram.
a.12
b.20
c.6
d.10
e.28

Is This Answer Correct ?    3 Yes 1 No

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / anusha

12
20
6
10
28

Is This Answer Correct ?    0 Yes 0 No

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / docloc

e. 48 because 20 students are not enrolled in any courses added to the number of students who are not taking PS

Is This Answer Correct ?    0 Yes 0 No

Use Venn diagrams to answer each of the following questions. You must show your Venn diagram for ..

Answer / khushin dhulla

a)6,b)28,c)0,d)16

Is This Answer Correct ?    7 Yes 11 No

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