On Saturday, May 10, 2014 10:07:55 AM UTC-4, G. A. Edgar wrote: > In article <email@example.com>, > > <firstname.lastname@example.org> wrote: > > > > > Thought experiment: > > > > > > Lets say that I randomly draw N letters out of a Scrabble letter-bag. I will > > > then place those letters in a horizontal line on a table. How many UNIQUE > > > patterns of letters can I produce? If there were no duplicates it would be > > > easy (N factorial) but when there are duplicate letters it seems more > > > complicated. > > > > > > Bob > > > > > > Are you thinking of actual Scrabble? Some letters have duplicates, and > > other don't? And the number of duplicates varies on how > > frequently-used the letter is? > > > > Or is this a mathematical Scrabble: Every letter has an unlimited > > supply, and the probability of drawing an E doesn't depend on whether > > some E's have already been drawn. > > > > -- > > G. A. Edgar http://www.math.ohio-state.edu/~edgar/
I took OP as asking about actual scrabble. The mathematical scrabble question that you alluded to is also quite interesting.
Professor Edgar, I find it an honor sharing a thread with you. 20+ years ago when I was writing my dissertation two of your early papers were quite helpful. The papers were:
"The class of topological spaces is equationally definable"