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Use a Venn Diagram to Answer the Question A=\mathrm{A}= The Set of Those Taking Art;

Question 82

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Use a Venn diagram to answer the question.
-A survey of 116 college students was done to find out what elective courses they were taking. Let A=\mathrm{A}= the set of those taking art; B=\mathrm{B}= the set of those taking basket weaving; and C=\mathrm{C}= the set of those taking canoeing. The study revealed the following information:
n(A) =45;n(B) =55;n(C) =40\mathrm{n}(\mathrm{A}) =45 ; \mathrm{n}(\mathrm{B}) =55 ; \mathrm{n}(\mathrm{C}) =40 ;
n(AB) =12;n(AC) =15;n(BC) =23\mathrm{n}(\mathrm{A} \cap \mathrm{B}) =12 ; \mathrm{n}(\mathrm{A} \cap \mathrm{C}) =15 ; \mathrm{n}(\mathrm{B} \cap \mathrm{C}) =23 ;
n(ABC) =2\mathrm{n}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C}) =2 .
How many students were not taking any of these electives?


A) 24
B) 34
C) 10
D) 26

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