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July 29th, 2018, 12:06 PM  #1 
Senior Member Joined: Dec 2015 From: iPhone Posts: 392 Thanks: 62  Permutation formula
How to derive the permutation formula $\displaystyle P=n!$ Find permutation of elements $\displaystyle \{ x_1 , x_2 , ... , x_n \}$ 
July 29th, 2018, 12:20 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,321 Thanks: 1232 
pick a first element, there are n ways of selecting pick a second element, there are (n1) ways of selecting repeat until 1 element left. The product of the number of selections at each choosing is $n \cdot (n1) \cdot (n2) \dots \cdot 2 \cdot 1 = n!$ 

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