SOLUTION: At a track meet 6 runners out of 20 must be chosen and their position are assigned for the frist heat of the race. In how many ways can this be done? I got 38760, but the teacher

Algebra ->  Probability-and-statistics -> SOLUTION: At a track meet 6 runners out of 20 must be chosen and their position are assigned for the frist heat of the race. In how many ways can this be done? I got 38760, but the teacher      Log On


   

Question 416263: At a track meet 6 runners out of 20 must be chosen and their position are assigned for the frist heat of the race. In how many ways can this be done? I got 38760, but the teachers says it is wrong. I don't understand how to solve it.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
you solved it as a combination problem 20C6

but it is a permutation problem (20P6) because the assigning of positions means that order counts

any group of 6 runners can have the positions assigned in 6! ways