SOLUTION: Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be?

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Question 165369: Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
When "order" is important we refer to it as a "permutation".
When "order" is NOT important we refer to it as a "combination".
.
nPr = (n!)/(n-r)!
.
In our case:
n = 7
r = 7
.
nPr = (n!)/(n-r)!
7_Pr_7 = (7!)/(7-7)!
7_Pr_7 = (7!)/(0)!
7_Pr_7 = (7!)/1
7_Pr_7 = (7!)
7_Pr_7 = (1*2*3*4*5*7)
7_Pr_7 = 840