A disc jockey has 20 songs to choose from and can only play 8 in the next half hour. how many different playlists are possible?

Question

Sanaa Norman

Mathematics

1 February, 12:47

A disc jockey has 20 songs to choose from and can only play 8 in the next half hour. how many different playlists are possible?

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Aditya Wilcox · Answer 1

This problem is a combination problem since it did not indicate that there is a specified order of songs to be played. The type of combination problem is without repetition. Thus the working equation would be n!/r! (n-r) ! wherein n is the total number of songs to choose from and r is the number of songs you can choose at a given time. The answer would be 125970.