Chapter 13: Q. 13 (page 855)

Find the value of each permutation.
$P (8, 4)$

Short Answer

Expert verified

The value of the given permutation is 1680.

Step by step solution

Step 1. Given information.

The given permutation is $P (8, 4)$ .

Step 2. Determine the value of the permutation.

We know that,

$P (n, r) = \frac{n!}{(n - r)!}$

The given permutation can be written as:

$\begin{array}{rcl} P (8, 4) & = & \frac{8!}{(8 - 4)!} \\ = & \frac{8!}{4!} \\ = & \frac{8 \times 7 \times 6 \times 5 \times 4!}{4!} \\ = & 8 \times 7 \times 6 \times 5 = 1680 \end{array}$

Step 3. Conclusion.

The value of the given permutation is 1680.

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Find the value of each permutation.
$P (8, 4)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value of the permutation.

Step 3. Conclusion.

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Find the value of each permutation.P(8,4)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value of the permutation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Decision Maths

Mechanics Maths

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of each permutation.
$P (8, 4)$