# Math Help - Product Rule Question

1. ## Product Rule Question

Utilize the product rule and sum rule to answer the following question...

How many subsets of a set with 100 elements have more than one element?

2. Originally Posted by fusion1455
Utilize the product rule and sum rule to answer the following question...

How many subsets of a set with 100 elements have more than one element?
a finite set of cardinality $n$ has $2^n$ subsets. $n$ of these subsets contain only one element. 1 of these subsets is $\emptyset$ (the empty set)