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?
Algebra ->
Probability-and-statistics
-> 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?
Log On
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?
---------
# of ways to pick 4 from 10: 10C4 = (10*9*8*7)/(1*2*3*4) = 210
--
# of ways to arrange the 4 on the shelf: 4! = 24
---------------
Total # of arrangements = 24*210 = 5040
===========================================
Cheers,
Stan H.