Problema Solution

a band has 8 new songs and wants to put 5 of them on a demo CD. how many arrangements of 5 songs are possible?

Answer provided by our tutors

if the order is not important:


C(8, 5) = 8!/(5!(8 - 5)!) = 6*7*8/(2*3) = 56 arrangements.


if the order is important:


V(8, 5) = 8!/(8 - 5)! = 8!/3! = 4*5*6*7*8 = 6,720 arrangements.