SOLUTION: Can you please help me with this question? It is from Algebra II, A Beka Book. The athletic director has 6 trophies won by school teams this year, but only enough space in the tr

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Question 86027: Can you please help me with this question? It is from Algebra II, A Beka Book.
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? Thank you so much for your help.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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? Thank you so much for your help.
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# of ways to pick 3 of the 6 trophies: 6C3 = [6*5*4]/[1*2*3] = 20
# of ways to arrange each of the groups of 3 trophies: 3!= 6
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# of ways to select and then arrange = 20*6 = 120
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Cheers,
Stan H.