Find the largest number, a single string of only digits - without radix or exponent, that can be equated to a mathematical expression that uses no variables and where each and every digit, 0 to 9, is used but once in the equation. Provide the equation.
Mathematical symbols and functions are permitted, yet limit each to less than the arbitrary number of ten.
If limited to digits 0 to 5, a possible answer, for example, could be:
5!/(4 - 3) = 120.
(In reply to another - not quite right - answer
Very good try.
If the notation, 4, was already recognized as a mathematical notation for 4.444444... it would meet the spirit of the problem.
I believe there are four notations for the repeating decimal, if you wish to use the notation. Either surround the repeating digit with a pair of parenthesis 0.(4), place an overline1 (called an vinculum) 0.4 over the repeating digits, or an overdot2 over the outermost repeating digit(s), or, if no other digits follow, follow the repeating digit with an ellipsis 0.4...
[ 1 -- the overline may not appear in all browsers; 2 -- I do not believe the overdot is yet supported by any major browser.]
Because there is notation that is not easily formed in a browser, defining an alternate notation for display in place of the original notation is acceptable, as long as the original notation meets the problem's requirements.
Edited on December 11, 2007, 12:55 pm
Posted by Dej Mar
on 2007-12-11 12:44:02