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How many subsets does a set with 4 elements have?

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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.

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