Problema Solution

This paper was published on 1 October 2012? In number format this would be written 01-10-2012. What is the next date which would use eight different digits in number format.

Answer provided by our tutors

if today's date is 01-10-2012 we are looking for the next date that will use 8 different digits


since 2012 uses 2 same digits the closest year with all digits different is 2013


this means we have the following digits left for use {4,5,6,7,8,9}


since we can not make a month from {4,5,6,7,8,9} this means we have to go back to the year and change it so that we can have a month


the month can be 01,02,03,04,05,06,07,08,09,10,12 thus we need "0" from the year so the next year will be


2134 and the month will be 05 but then the digits left to use for day are {6,7,8,9} and this means we have to go back to month and year thus we conclude that we need "1" from the year so the next year will be


2345 year and the month 06 and the date 17


thus the next date is 17-06-2345.