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


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