Write down all the subsets of the following sets: (i) { a } (ii) { a , b } (iii) {1, 2, 3} (iv) Φ

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Solution

(i)

The given set is A={ a }.

The subsets of given set are ϕ and { a }.

(ii)

The given set is B={ a,b }.

The subsets of given set are ϕ, { a }, { b } and { a,b }.

(iii)

The given set is C={ 1,2,3 }.

The subsets of the given set are ϕ, { 1 }, { 2 }, { 3 }, { 1,2 }, { 2,3 }, { 1,3 } and { 1,2,3 }.

(iv)

The given set is D=ϕ.

The subset of given set is ϕ only.

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