Question

If n(p(A))=32 then n(A)=?

Answer 1

np×nA = 32 ( just distributed)
therefore, nA =32/np

not sure about the answer.

Answer 2

Answer:

n(A) = 5

Step-by-step explanation:

If A is a set.

Then, n(A) is called cardinal number of the set A = number of elements in set A

P(A ) is called power set of A.

Power set = p(A) = set of all subsets of set A

We now that,

If number of elements in set A = n  ⇒  n(A) = n

Number of subsets of power set :

$=2^n$

Given, n[p(A)] = 32

$2^n = 32\\2^n = 2^5\\\text{Since if }a^m = a^n \text{ then m = n }$

Therefore, n = 5

Number of elements in set A = n(A) = 5