A Puzzle By Midnight Math

midnightmathYou have a pizza, but your slicer is only good for 10 cuts. You want to serve as many people as possible before your slicer gives out. How many is this? What about if your pizza slicer was good for n cuts? Put another way, what is the maximum number of partitions a circle can be partitioned into by making n chords?”

Midnight Math is a club run by Ian Hoover ’15 who just returned from studying away in Spain.
Send in your solutions (with proofs) to midnight.math@outlook.com. If you are correct, you will be given the highest of accolades: your name mentioned here, next issue.

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