How many project teams composed of five students can be created out of a class of 10 students, if each of the five students is assigned a specific position in each group such as president, vice president, secretary, treasurer and social coordinator?
A) 10
B) 50
C) 252
D) 30,240

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the students are chosen matters (each has a specific position). The number of ways to choose and arrange 5 students out of 10 is 10P5 = 10! / (10-5)! = 10*9*8*7*6 = 30,240.

How Many Project Teams Composed of Five Students Can Be