Question

Write down all the subsets of the following sets:

(i) {a}
(ii) {a, b}
(iii) {1, 2, 3}
(iv) ϕ

Answer 1

Answer:

(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

JAI SHREE KRISHNA