Question

1. If A = {1, 2, 3}, n(P(A)) = 2*, then k? - 1 =

Answer 1

Step-by-step explanation:

P(A) = {, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}.

Answer 2

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