Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

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Question: 1 / 400

How many subsets does a set of 3 elements have?

8

To determine the number of subsets in a set with a specific number of elements, you can use the formula \(2^n\), where \(n\) represents the number of elements in the set. In this case, since there are 3 elements, you would calculate \(2^3\).

Performing the calculation:

\[

2^3 = 2 \times 2 \times 2 = 8

\]

This means that a set with 3 elements has a total of 8 subsets. It includes various combinations: the empty set, subsets with one element, subsets with two elements, and the subset that includes all three elements. Therefore, the correct answer, which reflects the total number of subsets that can be formed from a set of 3 elements, is indeed 8.

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