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# Help - Venn Diagram!

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Venn Diagram

(a) How many of these students like exactly two of these composers?

(b) How many of these students like exactly one of these composers?

(c) How many of these students like none of these composers?

(d) How many of these students like Mozart, but neither Beethoven nor Haydn?

(e) How many of these students like Haydn and exactly one of the other two?

(f) How many of these students like no more than two of these composers?

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#1
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(a)   M and B  =  14

B and H   =  14

M and H  =  20         Total  48

(b)  M  =  9

B   =  15

H   =  5             Total   29

(c)   2      [ the number outside the circles ]

(d)   9

(e)  No more than  2   =   Total - Those who like 3 of them  =  63 - 8   =  55

CPhill  Dec 1, 2017
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48 is wrong > Use the Venn diagram to determine the number of students that like exactly two composers.<  how do i calculate that

#3
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Sorry.....I believe that exactly 2 should be   6 + 6 +  12   =   24

CPhill  Dec 2, 2017
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(e) How many of these students like Haydn and exactly one of the other two?

E isnt 55. (55 is wrong)

(f) How many of these students like no more than two of these composers?