Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What is the permutation formula used for?

Count of objects in any order
Specific number of a set of objects in any order
Specific number of a set of objects in a specific order
General counting principles

The correct answer is: Specific number of a set of objects in a specific order

The permutation formula is specifically used to determine the number of ways to arrange a particular number of items selected from a larger set, where the order of the items matters. This is particularly important in situations where the arrangement or sequence of the items affects the outcome. For instance, if you wanted to find out how many different ways you could arrange 3 books selected from a collection of 5 unique books, the permutation formula would give you the answer by considering all possible ordered arrangements of those 3 books. The focus on both the specific number of objects and their arrangement underscores why this option is correct, as permutations inherently deal with order, distinguishing it from combinations, where the order does not matter.