1.) There are five steps involved in assembling a certain product. These steps can be performed in any order, but only one order is the fastest and most productive . If management wants the best order, how many different orders will have to be tested? 2.) In how many ways can a team of ten players line up in a row to pose for a photo? 3.) How many four-digit PINs are possible if digits cannot be repeated? 4.) (24 four digit PINs are possible) In how many ways can the letters A, B, C, D, E, and F be arranged for a three-letter security code if letters can not be repeated? 5.) A horse race has eight entries. In how many different ways can the horses finish first, second, and third if there are no ties? 6.) The starting lineup (order matters) for a baseball team consists of nine players. In how many different ways can the starting lineup be filled for a team of fifteen players? 7.) From a pool of fifteen candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many different ways can the offices be filled? 8.) From a class of twenty students, how many different ways can the 1st, 2nd, and 3rd students be chosen? 9.) From a group of thirty candidates, the offices of president, vice-president, secretary, treasurer, and historian will be filled. In how many different ways can the offices be filled