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Original Question
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 6 records. If there are 11 records to select from, in how many ways can the program for this segment be arranged?
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Answered by
GPT 3.5
This problem is asking for the number of ways to arrange 6 out of 11 records.
This can be calculated using the combination formula:
C(n, r) = n! / (r!(n-r)!)
Where n = 11 (total number of records) and r = 6 (number of records to be selected)
C(11, 6) = 11! / (6!(11-6)!)
C(11, 6) = 462
Therefore, there are 462 ways to arrange the program for this segment.
This can be calculated using the combination formula:
C(n, r) = n! / (r!(n-r)!)
Where n = 11 (total number of records) and r = 6 (number of records to be selected)
C(11, 6) = 11! / (6!(11-6)!)
C(11, 6) = 462
Therefore, there are 462 ways to arrange the program for this segment.
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