Introduction to sets

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Question

$When A = ϕ, then number of elements in P (A) is$ ….. here P(A) is set of all subsets of A

Moderate

Solution

$\begin{aligned} A = ϕ \\ \Rightarrow n (A) = 0 \end{aligned}$
$Now, number of subsets of any set containing ' n' elements is 2^{n} .$
$\begin{matrix} Here, n = 0 \\ \Rightarrow Number of subsets = 2^{0} \\ = 1 \end{matrix}$

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