Question

Write down all the subsets of the following sets:

(i) {a}

(ii) {a, b}

(iii) {1, 2, 3}

(iv) Φ

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Answer 1

$\mathbb{ \ \ A\ N\ S\ W\ E\ R\: \: }$

1. The subsets of {a} are Φ and {a}.
2. The subsets of {a, b} areΦ, {a}, {b}, and {a, b}.
3. The subsets of {1, 2, 3} areΦ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1,3}, and {1, 2, 3}
4. The only subset of Φ isΦ.

Answer 2

Answer:

We know that number of subsets of any set is 2n

where n is the number of elements in that set.

Every non-empty set has two subsets ϕ and the set itself.

(i) The subsets of {a} are ϕ and {a}.

(ii) The subsets of {a,b} are ϕ,{a},{b},and{a,b}.

(iii) The subsets of {1,2,3} are ϕ,{1},{2},{3},{1,2},{2,3},{1,3},and{1,2,3}

(iv) The only subset of ϕ is ϕ.