Question

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 1

Option D:16

`(A\cup B)'`={r,t,v,z}

`C\cup A'`={r,t,v,w,x,y,z}

Explanation:

We are given a set {Mom,dad,Son, daughter}

1.We have to find the number of subsets of given set

To find the number of subsets using formula
`2^n` where n= Number of elements in a set

Therefore, we have 4 elements

Therefore, total number of subsets of a given set =
`2^4=16`

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}

`(A\cup B)'=U-(A\cup B)`

`A\cup B`={q,s,u,w,x,y}

Therefore,
`(A\cup B)'`={q,r,s,t,u,v,w,x,y,z}-{q,s,u,w,x,y}={r,t,v,z}

`C\cup A'=C\cup (U-A)`

U- A={r,t,v,x,z}

`C\cup A'`={v,w,x,y,z}
`\cup` {r,t,v,x,z}={r,t,v,w,x,y,z}