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For a segment of a radio show, a disc jockey can play 9 records. If there are 14 records to select from, in how many ways can t...Question
For a segment of a radio show, a disc jockey can play 5 records. If there are 7 records to select from, in how many ways can the program for this segment be arranged?
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GPT 3.5
This is a permutation problem (order matters) because the order in which the records are played is important.
The number of ways to arrange 5 records out of 7 is given by the formula for permutations:
P(7, 5) = 7! / (7 - 5)! = 7! / 2!
P(7, 5) = 7 * 6 * 5 * 4 * 3 = 2520
Therefore, there are 2520 ways the program for this segment can be arranged.
The number of ways to arrange 5 records out of 7 is given by the formula for permutations:
P(7, 5) = 7! / (7 - 5)! = 7! / 2!
P(7, 5) = 7 * 6 * 5 * 4 * 3 = 2520
Therefore, there are 2520 ways the program for this segment can be arranged.
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