Write down all the subsets of the following sets:
(i) {a}
(ii) {a, b}
(iii) {1, 2, 3}
(iv) ϕ
(i) Let A={a}
Now, number of elements in A = 1
Number of subsets of A = 21
∴ subsets of A are: ϕ, {a}
(ii) Let A={a, b}
Now, number of elements in A = 2
Number of subsets of A = 22 = 4
∴ subsets of A are: ϕ, {a}, {b}, {a, b}
(iii) Let A={1, 2, 3}
Now, number of elements in A = 3
Number of subsets of A = 23 = 8
∴ subsets of A are:
ϕ, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}
(iv) Let A=ϕ
Now, number of elements in A = 0
Number of subsets of A = 20 = 1
∴ subset of A is: ϕ