Annie's soccer team is conducting a passing drill in which each of the 11 members of the soccer team must pass the ball to each of the other members exactly three times. How many times must the ball be passed before the passing drill is over?
but I'm not sure about it.
Does order of which the ball is passed matter in this problem? Let's say that person A passes it to person B. When person B passes it to person A, does that count as a different pass?
Thanks in advance!
Each member of my team (11) will have to pass it 3 ttimes to EACH member of the other team
so that is 11 x 3 x 11 If we assume the ball is passed directly back (completing the passing for the OTHER team)
11 x 3 x 11 x 2 = 726 passes
(There is no “other team” in this question)
Each team member passes the ball to ten (10) other players three (3) times, and this happens for each of the eleven (11) players. 10 * 3 * 11 = 330
The drill completes at 330 passes.
Wait, so person A passing it to B is different from B passing it to A, right?
A passing it to B is different from B passing it to A, right?
That’s correct. When A passes to B, B is receiving, so that is different from B passing to A.
Here's another way to see this .....
We want to permute any 2 of the 11 team members....this will give us all the possible pairings of passes between any two team members
So P (11,2) = 110
But since the ball is passed three times between each of these....then 3 * 110 = 330 possible passes