# How many different ways can you arrange three songs on a CD? (Show the steps you did please.)

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### 1 Answer

We know we must place three songs on a CD. Let's call our three songs A, B, and C.

We first must choose the song #1. Since we haven't chosen any songs yet, we have *three* choices, A, B, or C. Say for example we choose A. Next, we must pick the second song, and since we have already used A, we now have only *two* choices, B or C. Say we pick B. This leaves only *one* choice for the third song, C.

Since we had *three* choices for the first song, *two* for the second, and *one* for the third, **the total number of ways to arrange three songs on a CD is 3*2*1 = 6. We could also write this as 3! (3 factorial).**

(Using this same logic, you could see that for example if you had asked for 5 songs, there are 5*4*3*2*1 = 120 ways to do it. We call this a permutation).