Solve the equation for positive integer n:()-()(4,

Given that:n9=n4n!9!(n-9)!=n!4!(n-4)!9!(n-9)!=4!(n-4)!

Answered: Solve the equation for positive integer…

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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Solve the equation for positive integer n:
()-()
(4,

Expert Solution

Step 1

$Given that : (\begin{matrix} n \\ 9 \end{matrix}) = (\begin{matrix} n \\ 4 \end{matrix}) \frac{n!}{9! (n - 9)!} = \frac{n!}{4! (n - 4)!} 9! (n - 9)! = 4! (n - 4)!$

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