Q9 of 145 Page 15

If A = {1, {2, 3}}, find P(A) and n {P(A)}.

Let {2,3} = x


Now, A = {1,x}


Subsets of A are ϕ , {1} , {x} , {1,x}


⇒ Subsets of A are ϕ , {1} , {2,3} , {1, {2,3}}


Now, n{P(A)} = 2m , where m = n(A) = 2


⇒ n{P(A)} = 22 = 4


More from this chapter

All 145 →
7

if A = {3, {4, 5}, 6} find which of the following statements are true.

(i) {4, 5} ⊄A


(ii) {4, 5} ϵA


(iii) {{4, 5}} ⊆A


(iv) 4ϵA


(v) {3} ⊆A


(vi) {ϕ} ⊆A


(vii) ϕ⊆A


(viii) {3, 4, 5} ⊆A


(ix) {3, 6} ⊆A


 8

If A = {a, b, c}, find P(A) and n{P(A)}.

 10

If A = ϕ then find n{P(A)}.

 11

If A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 8} then find the universal set.