A trumpet section includes six 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?  Answers
A) 240 B) 125 C) 720 D) 100 E) 25
We have a word problem using permutations. We must identify the number of total items in the group. There are six possible musicians who could be placed in the first chair, five possible musicians for the second, four for the third, three for the fourth, and two for the fifth and one for the sixth. To determine the number of possible orderings, we multiply these numbers, which we can express as 6!. Now 6! = (6)(5)(4)(3)(2)(1) = 720=720
<result>C</result>
A trumpet section includes six 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?