Question

You own 22 CDs. You want to randomly arrange 9 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? The probability that the CDs are in alphabetical order is

Answer 1

Given : You own 22 CDs. You want to randomly arrange 9 of them in a CD rack.

To Find  :  The probability that the CDs are in alphabetical order  

Solution :

Assumption :  All CDs are of different alphabet

9 CDs can be arranges in 9!  ways

and there is only one way that CDs are in  alphabetical order

Hence  The probability that the CDs are in alphabetical order  = 1/9!

= 1/3,62,880

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