SOLUTION: A disc jockey can play eight records in a 30-minute segment of her show. For a particular 30-min segment she has 12 records to select from. In how many ways can she arrange her pro

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Question 765458: A disc jockey can play eight records in a 30-minute segment of her show. For a particular 30-min segment she has 12 records to select from. In how many ways can she arrange her program for the particular segment?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If order matters, then...


n P r = (n!)/((n-r)!)

12 P 8 = (12!)/((12-8)!)

12 P 8 = (12!)/(4!)

12 P 8 = (12*11*10*9*8*7*6*5*4!)/(4!)

12 P 8 = 12*11*10*9*8*7*6*5

12 P 8 = 19958400


So there are 19,958,400 different ways to do this (assuming order matters).