Question

fill in the blank so that the resulting statement is true. the number of subsets of a set with n elements is ______. the number of subsets of a set with n elements is

Explanation:

For a set with \(n\) elements, each element has two choices: either be included in a subset or not. Using the multiplication principle of counting, the total number of subsets is the product of these 2 choices for all \(n\) elements.

Answer:

\(2^n\)