Question

DJ Jacqueline is making a playlist with 9 reggae, 9 jazz, and 16 blues songs. How many different playlists are possible if she wants to play an equal number of reggae, jazz, and blues songs?

a) 9.84 × 10^13
b) 1.23 × 10^14
c) 6.17 × 10^13
d) 2.46 × 10^14

Answer 1

To find the number of different playlists, we need to consider the number of ways we can choose an equal number of reggae, jazz, and blues songs. The total number of different playlists is 1.

Step-by-step explanation:

To find the possible number of different playlists, we need to consider the number of ways we can choose an equal number of reggae, jazz, and blues songs from the given options. We can think of this as a combination problem. The number of ways to choose 9 reggae songs from 9 is 1, as there is only one possible combination. Similarly, the number of ways to choose 9 jazz songs from 9 is also 1. Finally, the number of ways to choose 16 blues songs from 16 is also 1. To find the total number of different playlists, we multiply these individual numbers together: 1 x 1 x 1 = 1.