Final answer:
A set with 4 elements has 16 possible subsets, calculated using the formula 2^n, where n is the number of elements in the set.
Step-by-step explanation:
To determine how many subsets a set with 4 elements has, we can use the formula 2^n, where n is the number of elements in the set. For a set with 4 elements, we have:
n = 4 Number of subsets = 2^4 = 16
Therefore, a set with 4 elements has 16 possible subsets including the null set (empty set) and the set itself. Each of the 4 elements can either be included or excluded in a subset, which is why we raise 2 (the number of possible states for each element) to the power of the number of elements.