Round Robin Practice #1

Give these a try and we will discuss in class.

Part I Directions:  For each problem, figure out:  1) the number of games that each TEAM will play in their respective league; AND 2) the number of total games it will take to play the round robin tournament.  Use the formulas discussed in class to arrive at your answers!

1.    One league of 10 teams

2.    Four leagues of 8 teams each

3.    One league of 5 teams and one league of 4 teams each

4.    Three leagues of 7 teams and ten leagues of 6 teams each

5.    Two leagues of 9 teams and three leagues of 10 teams each

Part II Directions:  For each problem, figure out the TOTAL NUMBER OF GAMES AVAILABLE to play in the tournament.  Assume games will be scheduled on the hour (example:  4:00pm, 5:00pm, 6:00pm, 7:00pm).

1.    2 soccer fields available for one week, Monday through Friday, from 4:00pm to 8:00pm.

2.    3 tennis courts available for one week, Monday through Sunday, from 5:00pm to 10:00pm.

3.    6 basketball courts available for 4 weeks, Monday through Thursday, from 5:00pm to 10:00pm.

Part III Directions:  Answer the following question:

If you are scheduling a round robin tournament and you have 46 TOTAL GAMES AVAILABLE to play on your facility and you have 20 teams entered into your tournament, what combination of leagues/teams would you use to MAXIMIZE the use of your facility.  For this problem, keep the number of teams per league constant.