Let U = {1,2,3,4,5), A= {2,4,5}, B = {1,2,5}, and C = {2,3,4}. (a) Find A U (B U C). (b) Find (A U B) U C. (c) State a conjecture. Use the results in parts (a) and (b) to answer this part. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. AU (BUC)= (Use a comma to separate answers as needed.) O B. AU (BUC)=0Decide which elements should be put in region 1 given the information below. U = {a, d, f, g, m, n, r, t, v, w, x, y} 3 A= {a, d, f, g, t, v} B = {g, m, n, r, t, v} List all of the elements that should be placed in region 1. (Use a comma to separate answers as needed.)Decide which elements should be put in region 2 given the information below. A B U = {b, d, f, g, k, n, p, t, u, w, x, y) 1 3 A= {b, d, f, g, t, u} B = {g, k, n, p, t, u} List all of the elements that should be placed in region 2. (Use a comma to separate answers as needed.)