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# Write the following expression without using the factorial symbol.

+3
584
1

Write the following expression without using the factorial symbol.

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

Nov 27, 2017

#1
+21191
+5

Write the following expression without using the factorial symbol.

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

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

Nov 27, 2017

#1
+21191
+5

Write the following expression without using the factorial symbol.

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

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

heureka Nov 27, 2017