Use a Venn Diagram and the Given Information to Determine

Multiple Choice

Use a Venn Diagram and the given information to determine the number of elements in the indicated set.
- $\mathrm{n}(\mathrm{U}) =235, \mathrm{n}(\mathrm{A}) =80, \mathrm{n}(\mathrm{B}) =100, \mathrm{n}(\mathrm{A} \cap \mathrm{B}) \quad=35, \mathrm{n}(\mathrm{A} \cap \mathrm{C}) =38, \mathrm{n}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C}) =18$ , $n\left(A^{\prime} \cap B \cap C^{\prime}\right) =47$ , and $n\left(A^{\prime} \cap B^{\prime} \cap C^{\prime}\right) =60$ . Find $n(C)$ .

A) 50
B) 46
C) 86
D) 30