A DJ is preparing a playlist of 17 songs. How many different ways can the DJ arrange the first five songs on the playlist?
There are $\square$ different ways that the DJ can arrange the first five songs on the playlist. (Type a whole number.)
Answer
Final Answer: There are \(\boxed{742560}\) different ways that the DJ can arrange the first five songs on the playlist.
Step 1 ：This is a permutation problem. The DJ has 17 songs to choose from for the first song, 16 songs left for the second song, 15 songs left for the third song, 14 songs left for the fourth song, and 13 songs left for the fifth song. So, the total number of ways to arrange the first five songs is \(17 \times 16 \times 15 \times 14 \times 13\).
Step 2 ：Calculating this gives a total of \(742560\) ways.
Step 3 ：Final Answer: There are \(\boxed{742560}\) different ways that the DJ can arrange the first five songs on the playlist.
