EspañolEvaluate 10P4 and ,Co.10P4?Aa

Name: EspañolEvaluate 10P4 and ,Co.10P4?Aa
Uploaded: 2024-03-20T06:38:44.000Z
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Description: EspañolEvaluate 10P4 and ,Co.10P4?Aa

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Español
Evaluate 10P4 and ,Co.
10P4
?
Aa

Expert Solution

Step 1

The permutation expression is given as $10_{P_{4}}$ .

Use the formula for the permutation to find the value of $10_{P_{4}}$ .

$n_{p_{r}} = \frac{n!}{(n - r)!}$

Substitute the value from the expression ,

$\begin{array}{rcl} 10_{P_{4}} & = & \frac{10!}{(10 - 4)!} \\ = & \frac{10!}{6!} \\ = & \frac{10 \times 9 \times 8 \times 7 \times 6!}{6!} \\ = & 5040 . \end{array}$

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