A chest contains 5 balls that each have the number 3 written on them. The chest also contains 5
balls that each have the number 7 written on them, and 5 balls that each have the number 11
written on them. Octi the Octopus takes out a few balls, one at a time, and calculates the sum of
the numbers written on them. How many different sums less than 15 are possible?
