TITLE: Smallest future date which involves no repetition of a digit in the format DD/MM/YYYY
QUESTION [12 upvotes]: What is the smallest future date which involves no repetition of a digit in the format DD/MM/YYYY for the year? What is your approach?

REPLY [2 votes]: If we require the date and month to use both digits without an initial zero, then we need to wait until October 27, 3456 (27/10/3456 Europe, 10/27/3456 USA).  The constraints are:  we must use 0, 1, 2 in the month and date (the month has two of those digits and the date can't have both digits greater than 2, then we use lowest available digit for the millenium, then the century, etc.