Combination Notation

$$\text{Figuring It Out}$$

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When it comes to judging figure skaters, the Olympics have come up with a new strategy to eliminate bias scores to create a fairer system.

In this new system there are fourteen judges, each judge submits a score for each skater, however not each score is counted. A computer randomly eliminates three scores and averages the remaining scores. The average score is what is used as the final score for a skater.

While this scoring system does help eliminate bias scoring, it can make a huge difference in the position a skater places depending on which combination of scores are averaged together.