Bunuel wrote:
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?
A. 1,260
B. 2,520
C. 5,040
D. 6,020
E. 10,080
Choosing 5 out of 10 students : 10C5
Out of the chosen 5, we need to select a treasurer and a note taker, i.e., 2 roles. As the same person cant take both the roles, thus, selecting 2 people of the chosen 5 : 5C2
These 2 people can be arranged in 2! ways, i.e., either of them can be a note taker or a treasurer.
So, total ways : \(10C5*5C2*2!\) = 5040
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53% (01:37) correct 
