SOLUTION: For a segment of a radio​ show, a disc jockey can play 6 records. If there are 9 records to select​ from, in how many ways can the program for this segment be​ ar
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Question 1107627: For a segment of a radio show, a disc jockey can play 6 records. If there are 9 records to select from, in how many ways can the program for this segment be arranged?
Found 2 solutions by addingup, greenestamps:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
When order doesn't matter:
9C6 = n!/(n-r)! = 9!/(9-6)! = 362880/6 = 60480
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The response from the other tutor is confusing; he seems to be saying that order does not matter, but then his answer is if order DOES matter.
Since the question asks how many ways the program be arranged, to me that implies that order does matter. Then the number of ways is
P(9,6) = 9*8*7*6*5*4 = 60480.
If the question was intended only to ask which 6 of the 9 songs he could choose, with order not being important, then the number would be C(9,6) = C(9,3) = (9*8*7)/(3*2*1) = 84.
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