3.1 The Pigeonhole Principle 1. (5 pts) I have well over 1,000 albums. To be concrete and discrete let's say I have 1,024 albums. I want to catalog them based on the first letter of each album's title. There are 26 possible first letters. (ignore that a title could start with a digit or some other symbol.) Note that [1024/26) = 39 and [1024/261 = 40. (a) Why must some category in my collection contain 39 or fewer albums? (b) Why must some category in my collection contain 40 or more albums