Pin numbers a student loan administrator distributes pin numbers to its debtors. each pin consists of two letters followed by three numbers. (assume repetition is allowed, and order is important.) (a) how many different pin numbers are there? (b) what is the probability a pin number selected at random ends in 000? (c) what is the probability a pin number selected at random begins with aa? puppies of the dow refer to problems 41 and 43. (a) if five stocks from the dogs of the dow list are randomly selected, what is the probability all five will be puppies of the dow? (b) if five stocks from the dogs of the dow list are randomly selected, what is the probability exactly three will be puppies of the dow? (c) if five stocks from the dogs of the dow list are randomly selected, what is the probability at least two will be puppies of the dow? 40. hockey there are 15 teams in the eastern conference of the national hockey league for the 2009–2010 season, divided