Question

Adrian's CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD's, how many different combinations of six CD's can he put in the player?


A. 8,648,640
B. 720
C. 5,040
D. 1,716

Answer 1

\(13\) objects are there
you want to choose \(6\) from them ?

Answer 2

Total number of ways of choosing \(6\) objects from \(13\) objects : \(^{13}C_6\)

Answer 3

\[^{13}C_6 = \dfrac{13!}{6!(13-6)!}\]

Answer 4

simplify

Answer 5

thank you