Question

If n[P(A)]=16 then n(A)=

(A)3
(B)4
(C)5
(D)2

Answer 1

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 know that if number of elements in set A is n

n(A)=n

Number of subsets of power set =2  

n

 

Given,

n[P(A)]=16

2  

n

=16

2  

n

=2  

4

 

Therefore, n=4

this is not copied but my own answer