Question

"Allan is going to build a playlist that contains 8 songs. How many ways can Allan arrange the 8 songs on the playlist?"

Options:
A) 40,320 ways
B) 8 ways
C) 64 ways
D) 403 ways

Answer 1

There are 8 songs that Allan wants to arrange on the playlist. The number of ways to arrange them is 8! (8 factorial), which equals 40,320 ways.

Step-by-step explanation:

There are 8 songs that Allan wants to arrange on the playlist. To calculate the number of ways to arrange the songs, we use the concept of permutations. The number of permutations of a set of objects is given by n!, where n is the number of objects. In this case, Allan has 8 songs, so the number of ways to arrange them is 8!.

Calculating 8! we get:

8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320.

Therefore, the correct answer is A) 40,320 ways.