Set Inclusion a List the subsets of the set A 1 2 3 b List

Set Inclusion:

(a) List the subsets of the set A = {1, 2, 3}.

(b) List the subsets of the set B = {1, {2, 3}}.

(c) List the subsets of the set C = {{1, 2, 3}}.

Solution

a) Subsets of the set A = {1, 2, 3} : { }, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}

b) subsets of the set B = {1, {2, 3}} : { } , {1, {2, 3}},

c) subsets of the set C = {{1, 2, 3}}: { } , {1, 2, 3}