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Find the power sets of the following: (1) {a} (2) {a,{a, b}} (3) {a, b, c}
written 17 months ago by | • modified 17 months ago |
Find:
(1) {a}
(2) {a,{a, b}}
(3) {a, b, c}
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1 Answer
written 17 months ago by | • modified 17 months ago |
Find:
(1) {a}
(2) {a,{a, b}}
(3) {a, b, c}
written 17 months 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}}
written 17 months 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} }