Let us consider all possible positive whole numbers (not containing any leading zeroes) with the proviso that in each of the numbers, none of its digits can be repeated.

Note: any given number may or may not contain all the digits from 0 to 9 (Examples: 7; 20; 1056; 3067941825 etc.)

These numbers are now arranged in descending order of magnitude.

What would be the 200,136th number?

Due acknowledgements are in order to:<o:p></o:p>

Charlie , for his speedy response in solving the problem by an analytic method and subsequent computer verification.<o:p></o:p>

goFish, for providing a detailed method for solving the problem .<o:p></o:p>

Bill Matthews, for accurately solving the problem in his first post.