SOLUTION: A band’s new album contains 12 songs. The record company decides to promote the album at a music festival by giving away CD samplers that contain 3 songs from the album. a. Do

Algebra ->  Permutations -> SOLUTION: A band’s new album contains 12 songs. The record company decides to promote the album at a music festival by giving away CD samplers that contain 3 songs from the album. a. Do      Log On


   



Question 208487: A band’s new album contains 12 songs. The record company decides to promote
the album at a music festival by giving away CD samplers that contain 3 songs
from the album.
a. Does this situation involve combinations or permutations? Explain.
b. How many different ways can the band select songs for the sampler?

Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
a. Permutation: Order matters. Combination: Order does not matter.
a cd containing songs 1, 4, and 6 will be the same as a cd with songs 4, 6, and 1. Therefore, order does not matter and it will be a COMBINATION.
b. 12 C 3 (I understand formating is not correct, but I think you'll know what I am talking about) is read the combination of 12 cd's taken 3 at a time. It can be found by taking 12%21%2F%28%2812-3%29%21%2A3%21%29=%2812%2A11%2A10%2A9%21%29%2F%289%21%2A3%2A2%2A1%29
You can reduce in the numerator and denominator and you get:
%284%2A11%2A5%29%2F1
=220