Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to ensure that at least one of the trays has a dozen Balls 

An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3 scoops of ice cream each of a different flavor. On a banana boat they put one scoop of ice cream on the left one scoop in the middle and one scoop on the right of the banana boat. How many different rainbow splits can the store advertise?

After the rule change between 2006 and 2007 that permitted teams to prepare their own footballs, new fumble statistics were accumulated for the 8 years from 2007 thru 2014. Once again, the average fumbles per touch for each of 23 teams during this time period are given below: The numbers are the actual numbers. They are not just invented for this assignment. 36,38,40,40,44,44,44,44,46,46,46,46,48,48,48,48,50,50,50,52,52,56,74. During the 2007-2014 period, the New England Patriots fumbled the ball one time for every 74 touches. Conduct a z-test that tests whether it is reasonable to think that the Patriots had no particular competitive advantage on fumbling during the time period 2007-2014.

Apple has 252 sales repsin order to sell its apple watches.  Each to be assigned to 1 of 4 marketing teams.  If the first team is to have three times as many members as the second team and the third team is to have twice as many members as the fourth team, how can the members be distributed among the teams.