Math question? thanks for helping?

Question

just back in school. so dont remember much from the summer. and i have a word problem: At soccer pratice each player must kick the ball to every other player present at least one. If there are 17 players at pratice, what is the minimum number of kicks required.

do i use fatorial or permutations and combination. PLEASE DONT LEAVE MEAN COMMENTS. pleasse explain how you did it

Answer 1

Maybe I don't understand the question, but if each player must kick the ball to each of the other players at least once, that requires a minimum of 16 kicks by each player for an overall total of 17 x 16  = 272 kicks.

In this scheme of things having the ball kicked TO you does not count.

Answer 2

use permutation

since each player has to kick to every player so order of who kicks to who actually matters every 17 player must receive a pass from every person and give another pass to everyone else

17P2 = 272 passes

hope this helps

Answer 3

You use permutations because order matters (A kicks to B, but B also kicks to A.  So 17 P 2

Answer 4

Easier way to do this.

Draw a picture. =]

Draw 16 lines showing 16 of the players because one of them is kicking to every other of the 16, which would mean they would kick to 8 players.

17 Players must kick to 8 people.

17 x 8= 136

Answer 5

17 Choose 2 = 17! / 2!(15!) = 136