SOLUTION: The athletic director has 6 trophies won by school teams this year, but only enough space in the trophy case to display 3 at a time. How many different ways can he display the trop
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Question 983582: The athletic director has 6 trophies won by school teams this year, but only enough space in the trophy case to display 3 at a time. How many different ways can he display the trophies if order is important?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are 6 ways to choose the first trophy displayed. For each of these ways to display the first trophy, there are 5 ways to display the second one. Then, for each of the 30 ways to display the first and second trophy, there are 4 ways to display the third one.
In general, 
is the number of permutations (arrangements where order matters) of 
things taken 
at a time which is calculated by:
!})
John
My calculator said it, I believe it, that settles it
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