Problem 7. (3 points) The IPhOO has an ongoing Facebook competition where anyone at any time can answer with a chance to win points. A correct answer to a problem gets the full number of points the problem offers. The first 6 problems were worth the following number of points each:
- 1 point
- 3 points
- 4 points
- 7 points
- 9 points
- 3 points (note that this is an inaccurate statistic in real life, but assume it to be true for this problem)
Assuming people are indistinguishable, how many different possible outcomes are there? Note that an outcome is a set of people each having a positive number of points.