A trumpet section includes seven 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?	Choose the most appropriate option
A) 240 B) 125 C) 5040 D) 100 E) 25
We have a word problem using permutations. We must identify the number of total items in the group. There are seven possible musicians who could be placed in the first chair, six possible musicians for the second, five for the third, four for the fourth, and three for the fifth, and two for the sixth and one for the seventh. To determine the number of possible orderings, we multiply these numbers, which we can express as 7!. Now 7! = (7)(6)(5)(4)(3)(2)(1) = 5040=5040
<result>C</result>
A trumpet section includes seven 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?