Solution to Problem 260


Correct solutions came from Nicolas Halabi, Bradley University; Vincent Lynch, UK; Al Zimmermann, USA; Philippe Fondanaiche, France; Ahron Teitelman, Israel; Brett Hendricks, USA; Bill Webb, USA; Jens Voβ, Germany; Jack Tseng; Jerome Cherry, Canada;  Lou Cairoli, USA; John Snyder, USA; Ron Welch, USA, Farid Lian, Colombia.


There are 293 ways to make change, if you use a dollar coin, and 292 without the dollar coin.

Solutions included the following techniques: (a) brute force counting, (b) computer programs, (c) recursion, (d) generating functions.  

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