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D2. Find Yourselves
Posted: 2022 Jan 28In this classic dilemma, the director of a prison offers 100 people slated to be locked up one last chance at freedom. The individuals have been assigned different numbers from 1 to 100, and the director sets up a room containing 100 boxes. Each number from 1 to 100 has been put on a slip…
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D1. Continuing Irrationality
Posted: 2022 Jan 27One interesting thing about continued fractions is that every infinite continued fraction represents an irrational number. But in our first dilemma, we ask what happens when you have an infinite sequence of finite continued fractions with more and more terms. Recall that the binomial coefficient ( a b ) has the formula a ! b…