Chapter 13: Q. 14 (page 855)

Find the value of each permutation.
$P (8, 3)$

Short Answer

Expert verified

The value of the given permutation is 336.

Step by step solution

Step 1. Given information.

The given permutation is $P (8, 3)$ .

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:

$\begin{array}{rcl} P (8, 3) & = & \frac{8!}{(8 - 3)!} \\ = & \frac{8!}{5!} \\ = & \frac{8 \times 7 \times 6 \times 5!}{5!} \\ = & 8 \times 7 \times 6 = 336 \end{array}$

Step 3. Conclusion.

The value of the given permutation is 336.

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Find the value of each permutation.
$P (8, 3)$

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(8,3)

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

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Probability and Statistics

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Decision Maths

Study anywhere. Anytime. Across all devices.

Find the value of each permutation.
$P (8, 3)$