This desk toy made me wonder what the largest number,

*, is which can be displayed by arranging two six sided dice of which any given side may contain a number from 0 to 9 such that any whole number from 01 to*

**M****can also be built.**

*M*Obviously the maker of the toy has solved the problem up to 31 - a date that comes along every two months or so - but can you go bigger?

(Hint: It won't be 99 because there will be some numbers smaller than 99 that cannot be built.)

Rigil

ETA: Just noticed that six and nine are one and the same symbol .... just to make it infernally interesting.

ETA: Just noticed that six and nine are one and the same symbol .... just to make it infernally interesting.