Question

Compute the value of the expression. $$P(3,3)$$

   Compute the value of the expression.
$$P(3,3)$$

Algebra and Trigonometry

Algebra and Trigonometry

Jay Abramson 1st Edition

Chapter 13, Problem 17

Instant Answer

Solved by Expert Kristof Mueller

07/10/2020

Step 1

In this case, both $n$ and $r$ are 3. So we substitute these values into the formula: $P(3,3) = \frac{3!}{(3-3)!}$ Show more…

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Compute the value of the expression. $$P(3,3)$$

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Key Concepts

Permutations

This is a fundamental concept in combinatorics that refers to the number of ways to arrange a set of items where the order matters. The permutation function P(n, r) represents the number of ways to choose and order r elements from a total of n elements, and it is calculated using the formula n!/(n-r)!.

Factorial

Factorial is an operation used in permutation calculations, among other areas in mathematics. The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. It is a key component in the formula for permutations and other combinatorial expressions.

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