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?

Answer 1

This is a permutation problem because the order in which the records are played is important.

The number of ways the program for this segment can be arranged is given by:

9P6 = 9! / (9-6)! = 9! / 3! = 9 x 8 x 7 x 6 x 5 x 4 = 60480

Therefore, there are 60,480 ways the program for this segment can be arranged.