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Math and Logic

Candle Clearance

How much information do you need to put three things in order, like the finish order of a three-person race? It turns out, not much at all.

Suppose that, in a race among Amelia, Becca, and Carlos, we only know one fact: Becca finished before Carlos. What are the possible orders for the entire race? Keep reading to see some reasoning we can use on order puzzles like these, or jump ahead to today's challenge for a trickier problem.

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