Welcome to The Riddler. Every week, I offer up problems related to the things we hold dear around here: math, logic and probability. There are two typ

Pick A Number, Any Number

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2022-01-22 04:30:04

Welcome to The Riddler. Every week, I offer up problems related to the things we hold dear around here: math, logic and probability. There are two types: Riddler Express for those of you who want something bite-sized and Riddler Classic for those of you in the slow-puzzle movement. Submit a correct answer for either,1 and you may get a shoutout in next week’s column. If you need a hint, or if you have a favorite puzzle collecting dust in your attic, find me on Twitter.

Submit a positive integer. The person who submits the lowest unique number among all submissions is the winner and is inducted into the exclusive 🏅 Ordinal Order 🏅 of Riddler Nation!

You start with the integers from one to 100, inclusive, and you want to organize them into a chain. The only rules for building this chain are that you can only use each number once and that each number must be adjacent in the chain to one of its factors or multiples. For example, you might build the chain:

In a certain town, 11 fine folks are running in a primary for three at-large seats on the City Commission. Each voter may vote for up to three candidates. This election will reduce the field of candidates from 11 to six. How many different (legal) ways may a voter cast his or her ballot? And how many different outcomes (excluding ties) are there for who advances to November’s general election?

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