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# 100!/(95!5!) not working? (geometry with combinations)

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100!/(95!5!) not working? (geometry with combinations) *nevermind, figured out what i was doing wrong*

Guest Aug 24, 2017
edited by Guest  Aug 24, 2017
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#1
+76108
+1

100! / [ 95! * 5! ] =

C( 100, 5)  = 75,287,520

CPhill  Aug 24, 2017
#2
+18563
+1

100!/(95!5!) not working? (geometry with combinations)

$$\begin{array}{|rcll|} \hline && \frac{100!} {95!5! } \\\\ &=& \frac{100}{5} \times \frac{99}{4} \times \frac{98}{3} \times \frac{97}{2} \times \frac{96}{1} \\\\ &=& \frac{100}{5} \times \frac{99}{3} \times \frac{98}{2} \times \frac{97}{1} \times \frac{96}{4} \\\\ &=& 20 \times 33 \times 49 \times 97 \times 24 \\\\ &=& 75287520 \\ \hline \end{array}$$

heureka  Aug 24, 2017

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