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Find the power sets of the following: (1) {a} (2) {a,{a, b}} (3) {a, b, c}

written 2.0 years ago by | • modified 2.0 years ago |

Find:

(1) {a}

(2) {a,{a, b}}

(3) {a, b, c}

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**1 Answer**

4

723views

Find the power sets of the following: (1) {a} (2) {a,{a, b}} (3) {a, b, c}

written 2.0 years ago by | • modified 2.0 years ago |

Find:

(1) {a}

(2) {a,{a, b}}

(3) {a, b, c}

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2

51views

written 2.0 years ago by |

**Solution :-**

(1) {a} = {Φ, {a}}

(2) {a,{a,b}} = {Φ, {a}, {a,b}, {a,{a,b}}}

(3) {a,b,c} = {Φ, {a}, {b}, {c}, {a,b}, {b,c}, {a,c}, {a,b,c}}

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written 2.0 years ago by |

**Solution:**

**1) {a}**

$ 2^n$ = $2^1$ = 2

p(s) = {$\varnothing$, {a}}

**2) {a, {a, b}}**

$ 2^n$ = $2^2$ = 4

p(s) = {$\varnothing$, {a}, {a, b}, {a, {a, b}} }

**3) {a, b, c}**

$ 2^n$ = $2^3$ = 8

p(s) = {$\varnothing$, {a}, {b}, {c}, {a, b}, {b, c}, {a, c}, {a, b, c} }

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