Question

13 If [PA)] = 16, then n(A)=
a) 3
b) 4
12
C) 5
d) 2​

Answer 1

Answer:

correct option is B

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