Question

You want to arrange 6 of your favorite CDs along a shelf. How many different ways can you arrange the CDs assuming that the order of the CDs makes a difference to you?

Answer 1

There are 720 different ways to arrange six CDs on a shelf. This is calculated using the factorial function, represented by 6!, which equals 6 x 5 x 4 x 3 x 2 x 1.

Step-by-step explanation:

The question is asking about the number of different ways to arrange six CDs on a shelf. This is a problem of permutations, where the order in which the CDs are placed matters. To solve this, we can use the factorial function, which is denoted by an exclamation point (!) and means that you multiply a sequence of descending natural numbers. For six CDs, we want to find the total number of permutations, which can be calculated using the equation 6! (6 factorial). This equals 6 x 5 x 4 x 3 x 2 x 1, which is equal to 720. Therefore, there are 720 different ways to arrange the six CDs on a shelf.