# Number of Subsets of a Set and Intersection/Union of Sets

1. Without writing them all out, what is the number of subsets of set A ={king, queen, knight, prince, princess, duke}?

2. Given these elements of sets A, B, and C list the elements of set D. Show your work step by step.

A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {3, 5, 7, 9}

D = A intersected with (B U C)

https://brainmass.com/math/combinatorics/number-subsets-set-intersection-union-sets-309937

#### Solution Preview

1. The number of subsets of any set that has a finite number of elements can be found by first counting the number of elements of the set. This set has 6 elements. ...

#### Solution Summary

Finding the number of subsets of a set and finding the union and intersection of sets.

$2.19