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Chapter 8: Problem 76

Describe what \(_{n} P_{r}\) represents.

Short Answer

Expert verified
\(_{n}P_{r}\) represents the number of permutations, or distinct ways to arrange \(r\) items out of \(n\) total unique items.

Step by step solution

01

Define Permutations

Permutations refer to the arrangement of a set of objects, where the order of the objects is important.
02

Break down the notation

In the notation \(_{n}P_{r}\), \(n\) and \(r\) refer to the total number of items to choose from and the number of items being chosen, respectively.
03

Describe \(_{n}P_{r}\)

\(_{n}P_{r}\) specifically represents the number of ways to arrange \(r\) items out of a total of \(n\) unique items. It is calculated as \(n! / (n - r)!\), where '!' denotes a factorial, which is the product of all positive integers up to that number.

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