SOLUTION: How many ways can joe select 3 movies to rent from the top 10 rentals? I came up with 720, is this correct? The next question is: How many ways can joe select 3 movies to rent fro

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Question 37649: How many ways can joe select 3 movies to rent from the top 10 rentals?
I came up with 720, is this correct? The next question is: How many ways can joe select 3 movies to rent from the top ten rentals and arrange them in a triple feature? Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many ways can joe select 3 movies to rent from the top 10 rentals?
I came up with 720, is this correct? The next question is: How many ways can joe select 3 movies to rent from the top ten rentals and arrange them in a triple feature? Thanks
1st: Here you are counting GROUPS of movies; you are counting combinations.
10C3 = [10!]/[(10-3)!3!]= [10*9*8]/[1*2*3]= 120
2nd: Here you are counting ARRANGMENTS of the movies; these are permutations.
10P3= 10*9*8= 720
Cheers,
Stan H.