Question

Define power set. What is the cardinality of the power set of X if the cardinality of X is 5?

Answer 1

Consider a set X. Power set of X is defined as the collection of all subsets of X. Power set of X is denoted as P(X).

n(X) = 5

n(P(X)) = $2^5$

= 32

Cardinality of power set of X is 32.