A dj is preparing a playlist of 21 songs. how many different ways can the dj arrange the first six songs on the playlist?

Answer: The are 39,070,080 different ways the DJ can play the first 6 songs.

We will use the Fundamental Counting Principle to find the answer. Simply determine the number of choices for each position and multiply.

For the first choice there are 21 choices. Then, the number is reduced by 1 each time.

So to get the answer, we have to multiply the numbers below:

21 x 20 x 19 x 18 x 17 x 16