Question

If n[P(A)] = 512 , find n(A).​

Answer 1

Answer:

n(A) = 9

Step-by-step explanation:

We know that, power set of set A is collection of all subsets of set A. denoted by P(A).

$number \: of \: subsets = {2}^{n}$

where n = n(A)

n[P(A)] denotes number of subsets of A.

So, we can write that,

n[P(A)] = 2^n = 512

${2}^{n } = 512 \\ log_{2}(512) = n \\ n \: = 9$

Therefore, n(A) = 9.