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By what integer factor must 9! be multiplied to equal 11!?

 Apr 20, 2018
 #1
avatar+20831 
+3

By what integer factor must 9! be multiplied to equal 11!?

 

\(\begin{array}{|rcll|} \hline 9!\times 10 \times 11 &=& 11! \\ 9! \times 110 &=& 11! \\ \hline \end{array}\)

 

The integer factor is 110.

 

laugh

 Apr 20, 2018
 #2
avatar+3731 
+2

Yes, 9!=9*8*7*6*5*4*3*2*1

11!=11*10*9*8*7*6*5*4*3*2*1.

 

We see that 11*10 is extra, or \(\boxed{110}\)

.
 Apr 20, 2018

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