Question

If set X consists of three elements then the number of elements in the power set of power set of X is

• A. $3^3$
• B. $2^3$
• C. $3^8$
• D. $2^8$

Answer 1

The correct option is D $2^8$

Set x contains $3$ elements

power set of x contains $2^3$ = $8$ elements

powerset of powerset x contains $2^8$ elements.