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

Multiple Choice

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 $\mathrm{A}=$ the set of those taking art; $\mathrm{B}=$ the set of those taking basket weaving; and $\mathrm{C}=$ the set of those taking canoeing. The study revealed the following information:
$\mathrm{n}(\mathrm{A}) =45 ; \mathrm{n}(\mathrm{B}) =55 ; \mathrm{n}(\mathrm{C}) =40$ ;
$\mathrm{n}(\mathrm{A} \cap \mathrm{B}) =12 ; \mathrm{n}(\mathrm{A} \cap \mathrm{C}) =15 ; \mathrm{n}(\mathrm{B} \cap \mathrm{C}) =23$ ;
$\mathrm{n}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C}) =2$ .
How many students were not taking any of these electives?

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