In communicating your solutions to each problem, please describe any conditions or assumptions you made as you explored and solved the problem.

#1

From the set {4,5,6,7,8,9,0}:

(a) How many 4-digit numbers with distinct digits can be         created?
(b) Of those, how many are even numbers?

#2

Kim's sock drawer contains 12 identical black socks and 12 identical white socks. In the middle of the night, with no lights on, Kim reaches into the drawer in search of two pairs of the same color socks. How many socks must Kim pull from the drawer in order to be sure he has two pairs of the same color socks?