Wednesday, September 17, 2008
my all time favorite problem
Fill in the following sentence to make the sentence true:
There is ___ 0's, ___ 1's, ___ 2's, ___ 3's, ___ 4's, ___ 5's, ___ 6's, ___ 7's, ___ 8's, and ___ 9's in this sentence.
Note: First, there are two solutions. Second, this is one of my favorite all time problems. I found it in a Doug Hofstadter book, Metamagical Themas. Aparently Abraham Robinson, inventor of non-standard analysis, came up with the problem. I've had students look this up online for the answer. One even found a site that treated this as the base 10 version of a larger set of problems. He was able to generalize a solution. Very cool! Make sure to try it first though.