Question

Write all the possible subsets of X = {1, 2, {3, 4}}.

Answer 1

Answer:

Cardinality of X = 3.

The number of subsets = 2 to the power n

Here, n = 3

So, total number of subsets = 2³ = 8

Possible Subsets

{1, 2, {3, 4}}, { 1 }, { 2 }, {{3, 4}},

{1, 2}, {1, {3, 4}}, {2, {3, 4}}, ∅ (phi)

Answer 2

Answer:

All the subsets are as follows-

P(X) = {{ },{1},{2},{3,4},{1,2},{1,{3,4}},{2,{3,4}},{1,2,{3,4}}}