A trumpet section includes three musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?  Options
A) 240  B) 125  C) 120  D) 100  E) 6
We have a word problem using permutations. We must identify the number of total items in the group. There are three possible musicians who could be placed in the first chair, two possible musicians for the second, one for the third. To determine the number of possible orderings, we multiply these numbers, which we can express as 3!. Now 3! = (3)(2)(1) = 6=6.
<result>E</result>
A trumpet section includes three musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?