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 subsets of {a} are Φ and {a}.

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

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

{1, 2, 3}

(iv) The only subset of Φ isΦ.

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