document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #291663 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! you solved it as a combination problem 20C6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "but it is a permutation problem (20P6) because the assigning of positions means that order counts\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "any group of 6 runners can have the positions assigned in 6! ways \n" ); document.write( " |