Let the Universal set be the letters a through j: U = {a, b, ..., i, j}.
Let A = {d, e, f, i}, B = {b, d, e, g}, and C = {d, g, i, j}
List the elements of the set (A n B) U C
The set (A n B) U C consists of the elements that are in both A and B, and all the elements from C.
First, we find the intersection of A and B:
A n B = {d, e} (common elements in both A and B)
Then, we union the intersection with C:
(A n B) U C = {d, e} U {d, g, i, j}
= {d, e, g, i, j}
So, (A n B) U C = {d, e, g, i, j}