A certain school principal must choose 5 students to attend a field trip out of a group of 10 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?
Choose the correct choice from the following choices:
A) 1,260
B) 2,520
C) 5,040
D) 6,020
E) 10,080
Out of 10 students, 5 students can be chosen in 10C5 ways.   Out of the 5 chosen students, note taker role can be taken in 5 ways   Since the note taker role is already taken by 1 student, the treasure role can be taken in 4 ways   Total number of ways = 105,0405 * 5 * 4 = 5040   Answer: 5,040
<result>C</result>
A certain school principal must choose 5 students to attend a field trip out of a group of 10 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?