UMUC Stat Club must appoint a president, a vice president, and a treasurer. There are 10 qualified candidates. (a) How many different ways can the

UMUC Stat Club must appoint a president, a vice president, and a treasurer. There are 10 qualified candidates. 

(a) How many different ways can the officers be appointed? 

(b) Please describe the method used and the reason why it is appropriate for answering the question. Just the answer, without the description and reason, will receive no credit.