Write power sets of the following: (i) {a} (ii) {1, 2, 3} (iii) {a,

1.	Write power sets of the following: (i) {a} (ii) {1, 2, 3} (iii) {a, b} (iv) Φ
Answer» (i) {a} Subsets of {a} are Φ and {a}. Hence P{a} = {Φ, {a}} (ii) {1, 2, 3} Subsets of {1, 2, 3} are Φ, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3} and {1, 2, 3}. Hence, P{1, 2, 3} = {Φ, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}} (iii) {a, b} Subsets of {a, b} are Φ, {a}, {b}, {a, b} Hence, P{a, b} = {Φ, {a}, {b}, {a, b}} (iv) Φ Φ is null set, then P(Φ) = {Φ}

Write power sets of the following: (i) {a} (ii) {1, 2, 3} (iii) {a, b} (iv) Φ

Answer»

(i) {a}

Subsets of {a} are Φ and {a}.

Hence P{a} = {Φ, {a}}

(ii) {1, 2, 3}

Subsets of {1, 2, 3} are Φ, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3} and {1, 2, 3}.

Hence, P{1, 2, 3} = {Φ, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

(iii) {a, b}

Subsets of {a, b} are Φ, {a}, {b}, {a, b}

Hence, P{a, b} = {Φ, {a}, {b}, {a, b}}

(iv) Φ

Φ is null set, then P(Φ) = {Φ}