+0  
 
+3
60
1
avatar

Write the following expression without using the factorial symbol.

 

(n - 4)! / 3! (n - 2)!

Guest Nov 27, 2017

Best Answer 

 #1
avatar+18777 
+4

Write the following expression without using the factorial symbol.

(n - 4)! / 3! (n - 2)!

 

\(\begin{array}{|rcll|} \hline && \dfrac{(n - 4)!} {3! (n - 2)!} \quad & | \quad (n - 2)! = (n-4)!(n-3)(n-2) \\\\ &=& \dfrac{(n - 4)!} {3! (n-4)!(n-3)(n-2) } \\\\ &=& \dfrac{1} {3! (n-3)(n-2) } \quad & | \quad 3! = 6 \\\\ &=& \dfrac{1} {6(n-3)(n-2) } \\ \hline \end{array} \)

 

laugh

heureka  Nov 27, 2017
Sort: 

1+0 Answers

 #1
avatar+18777 
+4
Best Answer

Write the following expression without using the factorial symbol.

(n - 4)! / 3! (n - 2)!

 

\(\begin{array}{|rcll|} \hline && \dfrac{(n - 4)!} {3! (n - 2)!} \quad & | \quad (n - 2)! = (n-4)!(n-3)(n-2) \\\\ &=& \dfrac{(n - 4)!} {3! (n-4)!(n-3)(n-2) } \\\\ &=& \dfrac{1} {3! (n-3)(n-2) } \quad & | \quad 3! = 6 \\\\ &=& \dfrac{1} {6(n-3)(n-2) } \\ \hline \end{array} \)

 

laugh

heureka  Nov 27, 2017

14 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details