MATH SOLVE

4 months ago

Q:
# Permutation and Combination 4 songs will be played during assembly but 8 songs were submitted. How many ways can the DJ choose 4 songs to play? If you can, please show your work and why you did what. Thank you

Accepted Solution

A:

I assume, the order matters here. [tex]k [/tex] objects can be chosen out of [tex] n [/tex] objects, when the order matters, in [tex] P(n,k)=\dfrac{n!}{(n-k)!} [/tex] ways.So, the answer is [tex] P(8,4)=\dfrac{8!}{4!}=5\cdot6\cdot7\cdot8=1,680 [/tex] ways.