SOLUTION: How many 6-person line ups can be formed from 20-player volleyball roster, assuming every player can be assigned to any position? Please help me find the right formula. I have t

Algebra ->  Permutations -> SOLUTION: How many 6-person line ups can be formed from 20-player volleyball roster, assuming every player can be assigned to any position? Please help me find the right formula. I have t      Log On


   

Question 889464: How many 6-person line ups can be formed from 20-player volleyball roster, assuming every player can be assigned to any position?
Please help me find the right formula.
I have tried two different way but I think I,m thinking it to simple: like 20*6=120 and 120*6=720
Thank you for your help.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
This is a combination problem of 20 things taken 6 at a time
combination of 20 things taken 6 at a time = 20! / (6! * (20-6)!)
combination of 20 things taken 6 at a time = 20*19*18*17*16*15 / 6*5*4*3*2*1
combination of 20 things taken 6 at a time = 38760