SOLUTION: the track team has 10 trophies but there is only room for 4 of them on a shelf. How many different ways can 4 trophies out of the ten be arranged on the shelf?

Question 321173: the track team has 10 trophies but there is only room for 4 of them on a shelf. How many different ways can 4 trophies out of the ten be arranged on the shelf?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the track team has 10 trophies but there is only room for 4 of them on a shelf. How many different ways can 4 trophies out of the ten be arranged on the shelf?
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# of ways to pick 4 from 10: 10C4 = (10*9*8*7)/(1*2*3*4) = 210
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# of ways to arrange the 4 on the shelf: 4! = 24
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Total # of arrangements = 24*210 = 5040
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Cheers,
Stan H.
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