The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net.
How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
At first I thought the answer was 3 because I thought a single "penalty kick" counted as everyone in the team going against the goalie but 3 wasn't right.
Now I'm just confused on what a "penalty kick" actually means.
A single penalty kick is just one player taking a penalty against one goalkeeper.
There are 19 players who take a penalty kick against goalkeeper number one (that's 19 penalty kicks).
There are 19 players who take a penalty kick against goalkeeper number two (that's another 19 penalty kicks).
There are 19 players who take a penalty kick against goalkeeper number three (that's yet another 19 penalty kicks).
So how many in total?