Question

If A is any set then n(A)=4 then n[P(A)]=____________ * 1)16 2)4 3)8 4)6

Answer 1

n[P(A)] is the power of set A, which is = 16

Explanation:

For this question, We are simply looking for the number of elements in the power set of A.

To solve this, there is a simple formula that can be followed, which is

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

This means that to get the power of the set, we sill have to raise the number 2 to the number of elements in that set.

In our problem, n(A) refers to the number of elements in set A. In this case, n(A)= 4

Hence, n[P(A)]=
`2^(4)= 16`

Hence the power of set A = 16