jeremiah is creating a playlist that has only...
jeremiah is creating a playlist that has only one song from each of his favorite genres. the following table shows his favorite genres and the number of songs on his mp3 player for each genre.\ngenre number of songs\nrock 4\npop 2\ncountry 7\nclassical 8\nhow many different playlists could jeremiah create?
Answer
# Explanation:
## Step1: Apply multiplication principle
The number of ways to choose one - song from each genre is found by multiplying the number of choices for each genre.
## Step2: Calculate the product
We have 4 choices for rock, 2 for pop, 7 for country, and 8 for classical. So the number of playlists is \(4\times2\times7\times8\).
First, \(4\times2 = 8\). Then, \(8\times7=56\). Finally, \(56\times8 = 448\).
# Answer:
448