(a) To log on to a certain computer account; the user must type in a 5-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used_ How many such 5-letter passwords are possible? (There are 26 letters in the alphabet:)
(b) A certain committee consists of 15 people. From the committee, a president; a vice-president, secretary, and a treasurer are to be chosen. In how many ways can these 4 offices be filled? Assume that a committee member can hold at most one of these offices_