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.

Factorials:

10! = 3628800

10! - 4 = 3628795

where 4 = 4.4444 ...

but I don't think this meets the spirit of the problem.

Posted by Leming on 2007-12-11 11:27:00