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?

Answer 1

Adrian can put a total of 1716 combinations in the player.

The formula to be used is as follows:

total combinations = n!/[r! *(n-r)!]
n = number of disks available = 13
r = number of disks that be held = 6

= 13! = (13• 12•11•10•9•8•7•6•5•4•3•2•1)/(6! • 7!)
=1716

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