Find the number of subsets of the set. (mom, dad, son, daughter) A) 14 B) 12 C) 8 D) 16 Let U = {q, r, s, t, u, v, w, x, y, a}: A = {q, s, u, w, y}: B = {q, s, y, x}: and C = {v, w, x, y, z}. List the members of the indicated set, using set braces. (A Union B)' A) {r, t, v, x} B) {s, u, w} C) {t, v, x} D) {r, s, t, u, v, w, x, z}C Union A' A) {q, s, u, v, w, x, y, z} B) {q, r, s, t, u, v, x, z} C) {w, y} D) {s, t}

Answer:Option D:16 [tex](A\cup B)'[/tex]={r,t,v,z}[tex] C\cup A'[/tex]={r,t,v,w,x,y,z}Step-by-step explanation:We are given a set {Mom,dad,Son, daughter}1.We have to find the number of subsets of given setTo find the number of subsets  using formula [tex] 2^n[/tex] where n= Number of elements in a set Therefore, we have 4 elements Therefore, total number of subsets of a given set =[tex] 2^4=16[/tex]Hence, option D is true.16.Let U={q,r,s,t,u,v,w,x,y,z}A={q,s,u,w,y}B={q,s,y,x}C={v,w,x,y,z}[tex] (A\cup B)'=U-(A\cup B)[/tex][tex] A\cup B[/tex]={q,s,u,w,x,y}Therefore, [tex](A\cup B)'[/tex]={q,r,s,t,u,v,w,x,y,z}-{q,s,u,w,x,y}={r,t,v,z} [tex] C\cup A'=C\cup (U-A)[/tex] U- A={r,t,v,x,z}[tex] C\cup A'[/tex]={v,w,x,y,z}[tex]\cup[/tex] {r,t,v,x,z}={r,t,v,w,x,y,z}