Suppose the sample space S is finite, of size m. How many different indicator functions can be defined on S?
Author: Mohammad-Ali Bandzar| Date:Oct 14 2020
The number of unique indicator functions we can define on s will be equal to the number of possible subsets of S that we can create. The formula to find the maximum number of subsets including the empty set is $2^n$ where n represents the number of elements in your set.
In this case, we could define $2^m$ many different indicator functions on S.