Can you please show me how to make a venn diagram using this information?45. Use the given information to complete a Venn diagram, then determine: a) how manystudents have seen exactly one of these movies, and b) how many had seen only Star Wars.18 had seen The Matrix (M) 24 had seen Star Wars (SW)20 had seen Lord of the Rings (LotR) 10 had seen M and SW14 had seen LotR and SW 12 had seen M and LotR6 had seen all three

Question
Asked Oct 3, 2019

 

Can you please show me how to make a venn diagram using this information?

45. Use the given information to complete a Venn diagram, then determine: a) how many
students have seen exactly one of these movies, and b) how many had seen only Star Wars.
18 had seen The Matrix (M) 24 had seen Star Wars (SW)
20 had seen Lord of the Rings (LotR) 10 had seen M and SW
14 had seen LotR and SW 12 had seen M and LotR
6 had seen all three

check_circleExpert Solution
Step 1

To construct the Venn diagram representing the information about the three sets , and to count the required numbers

Step 2

Let M, S L represent the three sets (first letters for notation). Represent the three circles for M , S and L along with the number of members . FIll in 6 at the common intersection , to start with,

М, 18
S,24
L.20
help_outline

Image Transcriptionclose

М, 18 S,24 L.20

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Step 3

Use the given information to fill in the numbers as described (...

n(M and S) 10. Fill
in 10-6-4
М, 18
S,24
n(L and S) 14
Fill in 14-6-8
6
n(M and L) 12
L,20
FIll in 6
help_outline

Image Transcriptionclose

n(M and S) 10. Fill in 10-6-4 М, 18 S,24 n(L and S) 14 Fill in 14-6-8 6 n(M and L) 12 L,20 FIll in 6

fullscreen

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