SOLUTION: Ten people in our class want to run for 5 different class officers. Officer positions are very different so order matters. How many different groups of class officers can be elec

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Question 127611: Ten people in our class want to run for 5 different class officers. Officer positions are very different so order matters. How many different groups of class officers can be elected?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ten people in our class want to run for 5 different class officers. Officer positions are very different so order matters. How many different groups of class officers can be elected?
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# of groups of 5 = 10C5= 252
# ways the members of a group can be assigned class offices = 5!= 120
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Total number = 10C5 * 5! = 30240
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Cheers,
Stan H.