Question

What is the cardinality of power set of A = {2,3,9,7,5}?

Answer 1

Answer: 32

Step-by-step explanation:

     When the set has n elements, the power set has $2^n$ elements. This also gives us the cardinality of the power set, which is what we are looking for.

A = {2,3,9,7,5}

(1) 2

(2) 3

(3) 9

(4) 7

(5) 5

    n = 5

$\displaystyle 2^n$

$\displaystyle 2^5$

32