Question

if n[p[A]]=16,then find the n[A]is​

Answer 1

Answer:

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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