combinations and probability

Question

A science teacher needs to choose 12 students out of 16 to serve as peer tutors. How many different ways can the teacher choose the 12 students?

Answer 1

Hi Grace,

The solution you are looking for is 16 choose 12 = 16!/[(12!)(4!)] = 1820. Hope that helps a little bit!

~Joel

Answer 2

₁₆C₁₂ = 16! / [(12!)(16-12)!] = 1820