Write down all the subsets of the following sets:
$(i) {a} (i i) {a, b}$
$(i i i) {1, 2, 3} (i v) ϕ$

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Solution

By definition, Set $A$ is said to be a subset of Set $B$ i.e. $(A \subset B)$ if all the elements of $A$ are also present in $B$ .

$(i)$ Subsets of ${a}$ are $ϕ$ and ${a}$

$(i i)$ Subsets of ${a, b}$ are ${a}, {b}, {a, b}$ and $ϕ$ .

$(i i i)$ Subsets of ${1, 2, 3}$ are $ϕ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}$ and ${1, 2, 3} .$

$(i v)$ Subsets of Set $ϕ$ is $ϕ$

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