# Question: let a b and c be sets in a universal...

###### Question details

Let *A*, *B*, and *C* be sets in a
universal set *U*. We are given *n*(*U*) = 78,
*n*(*A*) = 43, *n*(*B*) = 33,
*n*(*C*) = 35, *n*(*A* ∩ *B*) =
16, *n*(*A* ∩ *C*) = 15, *n*(*B*
∩ *C*) = 10, *n*(*A* ∩ *B* ∩
*C*^{C}) = 14. Find the following values.

(a) *n*((*A* ∪ *B* ∪
*C*)^{C})

(b) *n*(*A*^{C} ∩
*B*^{C} ∩ *C*)

(please post a venn diagram)