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permutations help please!

 Jul 9, 2017

Best Answer 

 #1
avatar+9466 
+2

You can put it into the calculator on the home page like this:    npr(12,9)

 

But if you don't have a calculator that can do this.....

 

\(_nP_r=\frac{n!}{(n-r)!} \\~\\ _{12}P_9=\frac{12!}{(12-9)!} \\~\\ _{12}P_9=\frac{12!}{3!} \\~\\ _{12}P_9=\frac{12\,\cdot\,11\,\cdot\,10\,\cdot\,9\,\cdot\,8\,\cdot\,7\,\cdot\,6\,\cdot\,5\,\cdot\,4\,\cdot\,3!}{3!} \\~\\ _{12}P_9=12\,\cdot\,11\,\cdot\,10\,\cdot\,9\,\cdot\,8\,\cdot\,7\,\cdot\,6\,\cdot\,5\,\cdot\,4 \\~\\ _{12}P_9=79,833,600\)

 Jul 9, 2017
 #1
avatar+9466 
+2
Best Answer

You can put it into the calculator on the home page like this:    npr(12,9)

 

But if you don't have a calculator that can do this.....

 

\(_nP_r=\frac{n!}{(n-r)!} \\~\\ _{12}P_9=\frac{12!}{(12-9)!} \\~\\ _{12}P_9=\frac{12!}{3!} \\~\\ _{12}P_9=\frac{12\,\cdot\,11\,\cdot\,10\,\cdot\,9\,\cdot\,8\,\cdot\,7\,\cdot\,6\,\cdot\,5\,\cdot\,4\,\cdot\,3!}{3!} \\~\\ _{12}P_9=12\,\cdot\,11\,\cdot\,10\,\cdot\,9\,\cdot\,8\,\cdot\,7\,\cdot\,6\,\cdot\,5\,\cdot\,4 \\~\\ _{12}P_9=79,833,600\)

hectictar Jul 9, 2017

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