Hosted by The Math Forum## Problem of the Week 1180## A Champernowne PuzzleWhich of these is larger?
the total number of digits in the sequence 1, 2, 3, ..., 10 or
the number of zero digits in the sequence 1, 2, 3, ... , 10 Note: Champernowne's number is the real number 0.12345678910111213.... David Champernowne, while an undergraduate at Cambridge in 1933, proved that this is a "normal number": The digit distribution is, asymptotically, uniform.
Source: Not sure of original source. It was in the Konhauser files and is in © Copyright 2014 Stan Wagon. Reproduced with permission. |

27 May 2014