SOLUTION: For gym class, Mrs. Wilson was going to try something different. “Today, we are going to play fast and quick ping pong,” she told her class. She transformed the gym into ping p

Question 1179840: For gym class, Mrs. Wilson was going to try something different. “Today, we are going to play fast and quick ping pong,” she told her class. She transformed the gym into ping pong land! There were 3 rows and 2 column of ping pong tables. She continued, “Each ping pong game will last 120 seconds, and you play against one other person. After the game, run to the chart over here to mark who won or if there was a tie. Then you need to go to another table to play someone else. You have 30 seconds to mark your score and find another player until the next “Rad,” interrupted Justin.
“One catch,” continued Mrs. Wilson. “You cannot play the same player twice. And you have to play everyone in the class.”
There were a total of 16 kids in the class. How long will it take for everyone to play everyone else exactly one game?
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!

Each of the 16 students plays a game against each of the other 15 students. So the number of games is the number of ways of choosing 2 of the 16 students: C(16,2)=120.

2*3=6 games are played at a time, so the number of "rounds" required is 120/6=20.

The total elapsed time for each round is 120 seconds for the game plus 30 seconds for recording the result. That's 150 seconds, or 2.5 minutes. So the total time required to finish is 20(2.5) = 50 minutes.

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