Algebra 2 help please??

Question

Consider the set x= { #, $, @, ^, *}

1. Find the numbers of subsets there are for set X.

2. Find the number of 4- element subset of set X.

 

I am so confused, anything helps, thank you!!!

Answer 1

1. The number of subsets of a set is always equal to 2^N, where N is the number of elements in the set.  Since there are 5 elements in x, there are 2⁵ = 32 subsets.  This includes the null set and the set itself, which are both subsets of the set.

 

2. Since x has 5 elements, or members, any 4-element subset will have all the elements except one.  There are 5 different elements that can be eliminated, so there are 5 different 4-element subsets.