Five friends decided to have a video game competition. Each person is scheduled to play everyone other person.
After several games, Stephanie started a diagram to show which pairs have played and who has won so far.
The arrows in her diagram point from the winner to the loser. For example, when Lisa and Carlson played, Lisa won.
DIAGRAM IS ATTACHED AS PHOTO
A) How many more games need to be played? Show how you know.
B) Stephanie’s diagram can help you predict the winner of future matches! For each pair below, who do you think will win? If you think it is equally likely that either player will win, explain why. Use Stephanie’s diagram to support your answer.
I. Stephanie and Antonio
II.Estelle and Carlson
C) Is there always a winner? For example, is it possible to have a tournament with five friends where everyone wins and loses two games? If it is possible, draw a diagram for a different tournament with five friends so that each person wins and loses 2 games. If it is not possible, explain why it cannot be done.
D) How many games would be played in a tournament of 6 friends if each person played every other person exactly once? What if there were 10 friends?
PLEASE EXPLAIN THE PROCESS! THANK YOU!