Final answer:
To find the number of different playlists possible, we multiply the number of choices for each song together. The total number of different playlists can be expressed as n10, where n is the number of songs in DJ Davon's collection. The answer is D) 6.73 × 10⁸.
Step-by-step explanation:
To find the number of different playlists possible, we need to determine the number of choices for each song on the playlist. Let's say DJ Davon has a collection of n songs to choose from. For the first song, he has n choices. For the second song, he again has n choices, and so on. The total number of different playlists can be found by multiplying the number of choices for each song together. Since there are 10 songs on a typical playlist, we can express the total number of different playlists as n10, where n is the number of songs in DJ Davon's collection.
In this case, we are given the number of different songs DJ Davon can choose from, and we need to express the total number of different playlists in scientific notation. Add the number of different songs given and raise it to the power of 10 to calculate the total number of different playlists. Then, round the result to the nearest hundredth and express it in scientific notation. The answer is option D) 6.73 × 10⁸.