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- Path: sparky!uunet!spool.mu.edu!sol.ctr.columbia.edu!destroyer!gatech!rutgers!ub!acsu.buffalo.edu!kriman
- From: kriman@acsu.buffalo.edu (Alfred M. Kriman)
- Newsgroups: sci.math
- Subject: Re: Chess Problem
- Message-ID: <BuGM98.M3n@acsu.buffalo.edu>
- Date: 12 Sep 92 09:55:56 GMT
- References: <BuFpLp.9nI@ecf.toronto.edu>
- Sender: nntp@acsu.buffalo.edu
- Organization: UB
- Lines: 27
- Nntp-Posting-Host: lictor.acsu.buffalo.edu
-
- In article <BuFpLp.9nI@ecf.toronto.edu>
- rairan@ecf.toronto.edu (RAI Ranjan) writes:
- >In celebration(?) of the Fischer-Spasky rematch in Yugoslavia, I thought
- I'd post
- >a little chess problem I encountered in high school.
- >
- >Chess Problem:
- > Eight rooks are placed at random on a chessboard. What is the
- probability that
- > no two rooks can attack one another?
-
- 64 x (64-15) x (64-15-13) x ... x (64-15-13-...-3)
- P = ----------------------------------------------------
- 64 x 63 x 62 x ... x 57
-
-
- 64 x 49 x 36 x 25 x 16 x 9 x 4 x 1
- = ---------------------------------------
- 64 x 63 x 62 x 61 x 60 x 59 x 58 x 57
-
- = 9.109 x 10^-6 ,
-
- demonstrating the intimate connection between chess, the free electron
- mass, and SI units.
-
- As a challenge, this is an apt "celebration." It too is less
- interesting than anticipated.
-