How many project teams composed of 5 students can be created out of a class of 10 students?
A)10
B)50
C)252
D)30,240

Question

Quizplus · Accepted Answer

This is a combination problem, so we use the formula:
nCr = n!/r!(n-r)!
where n = 10 (number of students), r = 5 (number of spots on the project team)
nCr = 10!/5!(10-5)! = 252. Therefore, there can be 252 project teams composed of 5 students created from a class of 10 students. Option C is the correct choice.

How Many Project Teams Composed of 5 Students Can Be