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.
- $\mathrm{n}(\mathrm{A}) =85, \mathrm{n}(\mathrm{B}) =93, \mathrm{n}(\mathrm{C}) =87, \mathrm{n}(\mathrm{A} \cap \mathrm{B}) =17, \mathrm{n}(\mathrm{A} \cap \mathrm{C}) =19, \mathrm{n}(\mathrm{B} \cap \mathrm{C}) =13, \mathrm{n}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C}) =11$ , and $\mathrm{n}\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime} \cap \mathrm{C}^{\prime}\right) =171$ . Find $\mathrm{n}(\mathrm{U})$

A) 227
B) 398
C) 408
D) 312