SOLUTION: Kerri, Lara, Maddie, Nadine, and Petra are trying out for the tennis singles team. The coach is going to pick 3 members of the team randomly. If the order does not matter, in how m

Algebra ->  Permutations -> SOLUTION: Kerri, Lara, Maddie, Nadine, and Petra are trying out for the tennis singles team. The coach is going to pick 3 members of the team randomly. If the order does not matter, in how m      Log On


   

Question 554178: Kerri, Lara, Maddie, Nadine, and Petra are trying out for the tennis singles team. The coach is going to pick 3 members of the team randomly. If the order does not matter, in how many different ways can she pick 3 girls to make the team? Use the girls' initials and make an organized list.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Let K, L, M, N, P be the members. Then we have

KLM
KLN
KLP
KMN
KMP
KNP
LMN
LMP
LNP
MNP, 10 ways.

The best way to do it is simply evaluate 5C3, or 5!/(3!2!) = 10.